Would you agree? This Chris Wilcox incident seals it for me.
2009-KG's knee goes out and kills our title chances. All other injuries that happened this year really don't matter to me because this one is the killer.

2010-KG's still suffering from this but toughs it out
        -Glen Davis breaks his thumb being an idiot.
        -Sheed hurts his back in Orlando series. If we sweep the Magic this injury doesn't happen
        -Ray Allen bruised thigh in game 3 (I understand if you don't count this one but i do)
        -Kendrick Perkins tears his knee up in game 6.

2011-Shaq injures his calf/achilles and is never the same. Would have been a huge help
         -Quis goes down in that nasty neck accident. maybe this could have affected 'the trade'
         -Jermaine O'neal barely plays a game without tweaking something. plays 24 games
         -Delonte West misses almost 3/4 of the season. I say even with all the other injuries we         had if D-West could've played even just half or 3/4 of the season, he could've had enough positive impact to have a record slightly better than the Bulls.
         -Rajon Rondo gets his elbow bent backwards by Dwyane Wade, guaranteeing that Boston had no chance of advancing past the Heat

2012-Jeff Green, before we even play a single game, goes out with a heart problem. Green would have made such a huge difference to this team after a full year with the c's and a training camp in my opinion and we never even got to sniff it
        -Jermaine O'neal, as usual is a regular on the disabled list
        -Chris Wilcox, one of our only big men left goes out with heart problem just like Jeff Green.
 
I know i missed some but this track record of injuries can easily match anybody's in the league. The only team i can think that probably makes a better argument than us is the Blazers. But that would've ruined my thread title so I'll go with the C's. Also I think the timing of our injuries is more 'unlucky' then those of the Blazers.