Of the factions you listed, I had decks made up of Kurita, Green Turkey,
The Kurita deck was primarily a "wall" deck with lots of cheap assaults. It also had a few uniques (Hohrio, Shin Yodama, Uncle Chandy) as well as some good missile mechs (The Naginata friggin rocks!). But, mainly, cheap low cost mechs - Daimyo's, daikyu's, spiders, venoms, etc. Good general purpose deck, worked well in multiplayer games, not so well in duels (you want FAST mechs - both in build cost and speed - there)
The Green Turkey deck, much as I hate to say it, one of the strongest decks I ever saw, because it was built around MISSILES. The Green Turkeys loves themselves the missile mechs - Ullers on the low cost end, then Thors, Vultures, and Lokis. Throw in targeting aces, "Nice groping" mission cards, maybe some narc refits.... I really, really beat people down with that deck. It did have one problem, though. As other people have mentioned, it had lots of expensive mechs, so it built so. It worked GREAT in a multiplayer game, because then you got the time you needed to build. If not.... Well, it ususally died in a duel because of that.
Hope that helps.