Well, now that you’ve posted the list, I’ll really give some input.
First of all, Tron assist. After Sent-y, Tron-y is just about the most widely usable assist in the game. Much like Sent’s drones, almost any character can find some way to put Tron into a combo for tons of free damage. If you are going to use a rushdown character, definitely throw Tron in there as well. Even if you aren’t going rushdown, Tron is still something to consider.
Secondly, pick your anti-air well, if you use one. Different AAs fit different teams better. Psy, Cammy, or SonSon (or Cyke, but he’s banned) work best with rushdown. CapCom is one of the most generically useful. Jin is best for keepaway or steroids, but also remember that he’s a bit less abusable than the others. And don’t forgot about Ken and his invulnerability either.
Lastly, good cover assists. Unfortunately, most of these are in the Top Tier. Stuff like Storm projectile, Sent-y, or Doom rocks. In the lower tiers, the selection is slimmer and weaker. Charlie’s projectile assist is nice and slow, but is so high that some of the really short characters stand under it, and it’s only one hit. B. B. Hood also has a fairly nice one, and it’s quite similar to Charlie’s. It’s nice and slow, and stays lower to the ground. But IIRC it isn’t full screen, and it’s still only one hit. MegaMan actually has a pretty good projectile assist, and he’s quite good on point. His PROJ hits twice, breaks super armor, and doesn’t require much cover. Also, Gambit has a pretty good one, as it’s fast, invisible, requires little cover, and pins the opponent temporarily. But, it’s still only one hit. Anyway, Gambit or MM are probably your best bets.
As for point characters…
Others worth mention:
War Machine (ghetto IM)
Steroids (Colossus, Juggy, Hulk)
Check some of the character-specific sections for certain people. Just be suer to practice, and also try to have a few different types of teams ready, so that if someone can beat your best rushdown, you can always try keepaway, or vice-versa.