I remember when the EMH in First Contact tried to pull a Bones... "I'm a doctor, not a doorstop!" He totally lacked Bones' punch though
Actually, that's something I always loved about the later shows. Every now and then they'd show their roots by using that line. Great fun
For me, I'd have to vote for the DS9 crew; if only because they all came from totally different backgrounds and nations and they learned to work together over the course of the show. That puts them a notch above TOS crew because those people were all Starfleet right from the start and were expected to work together.
But my favourite ST moment, bar none, is in Star Trek V with Kirk, Spock, and McCoy spending all their leisure time cooped up together and singing Row Row Row Your boat. The best friendship scene in any sci-fi show to date.