I can't comment on how things felt, like Kuberski, but I can try. Your 84 comments have me thinking about my choices. I think it's nearly impossible to compare teams across eras, especially being someone who didn't see them, but here's some relevant stats and interesting notes for the 17 Celtics championship teams:
56-57: 44-28, best record in NBA, 6 games ahead of 2nd place Syracuse, + 5.3 average margin of victory, 7-3 in playoffs (won 3-0 and 4-3); 1st Celtics title
58-59: 52-20, 1st in NBA, 3 GA of St. Louis, + 6.5 MOV, 8-3 playoffs (4-3 and 4-0); most wins by any team in NBA history, breaking record held by the 49-50 Syracuse Nationals (51-13), Minneapolis Lakers and Cincinnati Royals (51-17 each - strangely, they played different amounts of games in the same regular season); lower Win % than those teams at .722, though.
59-60: 59-16, 1st in NBA, 10 GA of Philadelphia, + 8.3 MOV, 8-5 playoffs (4-2 and 4-3); break previous season's record for most wins by any team in NBA history; at .787, Celtics don't match 50 Syracuse Nationals' .797 Win %, or the .817 Win % of Red Auerbach's 1946-47 Washington Capitals (49-11) from the first season of the BAA.
60-61: 57-22, 1st in NBA, 6 GA of St. Louis, + 5.6 MOV, 8-2 playoffs (4-1 and 4-1); 3rd consecutive title, matching record set by 51-52 to 53-54 Minneapolis Lakers
61-62: 60-20, 1st in NBA, 8 GA of LA, + 9.2 MOV, 8-6 playoffs (4-3 and 4-3); break own record for wins in NBA season; break record for best average margin of victory set by 49-50 Lakers (+ 8.4); 5th title, matching Minneapolis Lakers' record 5 titles (1 BAA, 4 NBA); 4th consecutive title, breaking Lakers' record.
62-63: 58-22, 1st in NBA, 5 GA of LA, +7.2 MOV, 8-5 playoffs (4-3 and 4-2); Cousy's last season; Celtics' 6th title, breaking Lakers' record.
63-64: 59-21, 1st in NBA, 4 GA of Cincinnati, + 7.9 MOV, 8-2 playoffs (4-1 and 4-1)
64-65: 62-18, 1st in NBA, 13 GA of LA, + 8.4 MOV, 8-4 playoffs (4-3 and 4-1); break own record for wins in NBA season; at .775, still behind 46-47 Capitals (49-11, .817), 49-50 Nationals (51-13, .797) and 59-60 Celtics (59-16, .787) for Win %; 2nd Celtics team to win 60 games, before any other franchise had won 60 once; 8th title in 16 NBA seasons (3 seasons of the BAA count toward NBA totals as well, meaning Cs had 8 of 19 officially).
65-66: 54-26, 2nd in NBA, 1 game behind 1st place Philadelphia, + 4.9 MOV, 11-6 playoffs (3-2, 4-1, 4-3); 1st Celtics title won after not having best record in NBA; 8th consecutive title, setting record not yet broken; Red Auerbach's final season coaching after winning 9 titles in 16 seasons in Boston.
[Note: 66-67 76ers set all time records with 68 wins, .840 Win % (68-13) and + 9.4 MOV. 66-67 Celtics go 60-21 in Russell's first year as player-coach.]
67-68: 54-28, 3rd in NBA, 8 GB Philadelphia, + 4.1 MOV, 12-7 playoffs (4-2, 4-3, 4-2); 10th title for Celtics; Russell's first title as player-coach.
68-69: 48-34, tied for 5th in NBA, 9 GB Baltimore, + 5.6 MOV, 12-6 playoffs (4-1, 4-2, 4-3); Russell's last season; Cs upset heavily favored 76ers (55-27), Knicks (54-28) and Lakers (55-27) to win 11th franchise title in Game 7 in Los Angeles; 11 titles for Celtics in 23 BAA/NBA seasons.
[Note: 70-71 Bucks set NBA record with +12.2 MOV. 71-72 Lakers set NBA records with 69 wins, .841 Win % (69-13) and + 12.3 MOV.]
[Note: 72-73 Celtics set franchise record with 68 wins and .829 Win %, but lose to the Knicks in 7 in the ECF.]
73-74: 56-26, 2nd in NBA, 3 GB Milwaukee, + 3.9 MOV, 12-6 playoffs (4-2, 4-1, 4-3); first title without Russell, 12th title overall.
[Note: 74-75 Celtics go 60-22, 5th Celtics team to win 60 games.]
75-76: 54-28, 2nd in NBA, 5 GB Golden State, + 2.3 MOV, 12-6 playoffs (4-2, 4-2, 4-2); featured "Greatest Game Ever Played."
80-81: 62-20, tied 1st in NBA with Philadelphia, + 5.9 MOV, 12-5 playoffs (4-0, 4-3, 4-2).
83-84: 62-20, 1st in NBA, 8 GA of LA, + 6.5 MOV, 15-8 playoffs (3-1, 4-3, 4-1, 4-3); 15th title; 8th Finals victory over Lakers without loss.
[Note: 84-85 Celtics become 10th in franchise history to win 60 games, but lose title to Lakers.]
85-86: 67-15, 1st in NBA, 5 GA of LA, + 9.4 MOV, 15-3 playoffs (3-0, 4-1, 4-0, 4-2); 16th title; set franchise record for MOV; 40-1 at home in regular season, 10-0 at home in playoffs.
[Note: 95-96 Bulls set NBA records with 72 wins, .878 Win % and tie record with +12.3 MOV.]
07-08: 66-16, 1st in NBA, 7 GA of Detroit, + 10.2 MOV, 16-10 playoffs (4-3, 4-3, 4-2, 4-2); 17th title; set franchise record for MOV; franchise's 12th 60-win season (Celtics won titles in 6 of those 12 seasons), 2 ahead of Lakers (10 60-win seasons); first title in 22 years, longest drought in franchise history; prevent Phil Jackson from breaking Red Auerbach's record of 9 titles as coach.
Now, I ranked them based purely on these numbers and the few external factors I know about the teams from books, ESPN Classic and NBA TV. I guess what I'm looking for is which team accomplished the most:
1) 86 Celtics - best single season Celtics team ever. Most wins of any Celtics championship team with 67, 2nd best MOV in Celtics history, they coasted through playoffs with more ease than any other Celtics team ever. Bummer they couldn't destroy the Lakers, but we all know they would have. Nobody could stop that team.
2) 62 Celtics - first team ever to win 60, crushed competition with + 9.2 MOV, went to 7 against Philly (Wilt and Arizin) and LA (Baylor and West), but those were good teams. Probably the best of the Cousy-Russell Celtics teams. This was their 4th title in a row, setting a record that still has not been matched (of course, the final number is 8, but nobody else has yet even won 4 in a row).
3) 65 Celtics - Russell at his apex, they won 62 games, finishing 13 games ahead of their nearest competitor and had a + 8.4 MOV. Got trouble from the 76ers (Wilt, Greer, Chet Walker) in the playoffs, but cruised through the Lakers in 5.
4) 08 Celtics - best MOV in Celtics history, 2nd most wins among Celtics championship teams, bonus because it was first title in 22 years AND they kept Jackson from passing Red on the Auerbach Parquet. Based on their regular season dominance and dominance of Detroit and LA, I think this is where they belong.
5) 60 Celtics - went 59-16, finished 10 games ahead of closest competition, + 8.3 MOV. Some trouble in playoffs (6 games with Philly, 7 with St. Louis) but dominant nonetheless.
6) 64 Celtics - first year after Cousy retired, they went 59-21, had a + 7.9 MOV and cruised through the playoffs, beating Oscar's Royals (maybe his best season with 31.4 PPG - his most ever - 11.0 APG and 9.9 RPG) and Wilt's Warriors in 5 games each to win their 6th straight.
7) 84 Celtics - Bird was in his MVP prime for this one, McHale was entering his prime and DJ emerged as the defensive stopper at guard. 62 wins, + 6.5 MOV, 8 games ahead of second place. Plus, they beat New York AND LA on the way to the title.
63 Celtics - in Cousy's last year, they won 58 games and had an average MOV of + 7.2. The playoffs were a little tough, but they took out the Lakers in 6 to win their 5th consecutive title.
9) 81 Celtics - Also won 62 games, as much because of Tiny, Max and Chief as Bird, who was only in his second year. Still, best record in league, + 5.9 MOV, and good playoff run, sweeping the Bulls and downing a great 76ers team in 7 before knocking off an inspired Rockets team led by Moses and Calvin Murphy in 6 games.
10) 66 Celtics - Less for numbers (54 wins, + 4.9 MOV, 2nd best record in league) than for three significant factors: 1) the first place 76ers, with Wilt, Greer, Chet Walker and Billy Cunningham, were supposed to take the Celtics' throne that year. Instead, Boston won in 5 outscoring Philly by almost 10 points per game; 2) this was the 8th consecutive title for the Celtics, an unprecedented and never-to-be-surpassed achievement; 3) heading into this, Auerbach's final season, he told everybody they had one last shot at him. Despite everybody taking their best shots at Red's Celtics, they won it all.
11) 69 Celtics - only 48-34, worst Win% and worst finish (tied for fifth in NBA). However, this team was actually better than its record (+ 5.6 MOV), and the way it exceeded playoff expectations in Russell's final season. First, they knocked off the favored Sixers in 5. Then, they beat the even more favored and stacked Knicks of Willis Reed, Cazzie Russell, Walt Bellamy, Walt Frazier and Dave DeBusschere in 6. Finally, they made LA keep their balloons in the rafters and silencing the USC marching band, beating Baylor, West, Wilt and the rest of the Lakers in Game 7 in LA. One of the best runs by a Celtics team ever.
12) 74 Celtics - record (56-26) and MOV (+ 3.9) aren't great, but this season was sandwiched between 68 and 60 win seasons for the Cowens-Havlicek-White crew of Coach Tommy, meaning the team was very good at the time. This season also featured a 102-87 win over the Kareem-Oscar Bucks in Game 7 in Milwaukee. Factor in how the games went (win by 15, lose in OT, win by 12, lose by 8, win by 9, lose by 1 in 2 OT, win by 15) and this was clearly the superior team in the series even though it went 7. The win also proved the Celtics could win without Russell. Think I might have ranked them too low. But this is a list of champions, so they're all great.
13) 59 Celtics - somewhat non-descript, but they had a very good 52-20 record, a + 6.5 MOV, and they swept the Lakers in the Finals. The first of 8 straight.
14) 61 Celtics - less wins (57-22) and lower MOV (+ 5.6) than some years, but when it counted, they cruised through the Nationals and Hawks in 5 games each to become the second team ever to win 3 in a row.
15) 68 Celtics - another team that without really "great" numbers but the circumstances make them. They were 54-28, with an average MOV of "only" + 4.1. However, they knocked off the seemingly invincible 62-20 76ers in Wilt's prime and earned Russell his first title as player-coach.
16) 57 Celtics - this was the first, which gets bonus points, but when it comes down to it, this was a 44-28 team. Its + 5.3 MOV is better than some teams I ranked higher (66, 68, 74) but the record is tough to get around. Kind of like the 01 Pats, I'd imagine. It was unreal, and we celebrated like crazy, but the team pales in comparison to what came later.
17) 76 Celtics - played the greatest game ever played and won on grit, but had only 54 wins and a +2.3 MOV when the league was at a low point. Still, they never went to a 7th game so they were an excellent team.