[{quoted}](name=Big Lincoln,realm=NA,application-id=cIfEodbz,discussion-id=Y8pxjiRv,comment-id=000500000000,timestamp=2016-03-17T18:30:56.143+0000)
There's actually a few supports I consider to be generalist picks;
Sona has poke, heal and her ult. She's a bit of a mess as far as her kit goes right now, but she's always seemed like the aggressive one of the bunch. Her burst poke is okay but not nearly as good as, say, Karma. Her heal/shield works well together, but individually they're inferior to Soraka/Lulu/etc. Her E is a spell you can use when the others are on cooldown.
Thresh is self-explanatory, he's a Swiss army knife of supports provided you know how to use him
Taric is vaguely an antithesis to Sona for me. I like to think he's her tankier, less mobile counterpart. That said, being a generalist isn't a bad thing, and I think he could do this AND be a big playmaker. His thing could be that he's a good all-around pick. Flexible, multi-lane, multi-use with maybe a really cool, unique ultimate skill and dependable normal abilities. Because that's what Taric is; dependable.
Thresh is generalist. His hook is a kill ability. His passive on flay gives poke. And his lantern shield is a minor form of sustain. And he infinitelyrics scales with his true passive.
Sona has a poke and a sustain but she lacks kill power due to her fragile nature and lack of dps. Sona can kill but she does it through poke bursting targets. She is better at short skirmishes than long drawn out fights. Sona is not a generalist. Karma is a poke/sustain, Lulu is a generalist and Soraka is sustain/poke.
The only other generalist support champion is Morgana. Poke is dark binding, kill is her ultimate and her pool and sustain is her passive and black shield.
Taric is not a generalist. He is a sustain/kill laner. His armor and heal make him a tank to AD sources and his passive and ultimate gives him kill potential. But he has no poke. Spamming dazzle will make him go oom before it kills an enemy. He has 2 modes: armor aura bot and man mode. He is not a generalist.