What is the last really small team, and by small I don't mean there aren't bigs on the roster but that the best players are overwhelmingly not bigs, that you remember?
I mean, the Curry / Klay / Dray Warriors sans KD is the most obvious answer.
The "Death Lineup" didn't have anybody taller than 6'8''. I know that Draymond is technically a PF and he was playing at C in the "Death Lineup," but his skillset is nothing like a traditional big man. Draymond would have played exclusively at SF two decades ago.
Andrew Bogut did play a significant role on that team, though.
Also, they stopped being a "small" team when they added 7 foot KD, of course. He's technically a wing, but he's big enough to play the 4 in any system.
I'd also point to the 2015 Houston Rockets. They won 56 games despite the fact that their best big men were Donatas Motiejunas, Dwight Howard (washed, only played 41 games), Josh Smith (washed), and Terrence Jones.