Coming from what Eds I own:

1) Cyborg Max, since Bounty Hunter got wrekt with all the counter toons to his passive.
2) Alex. The King of Cosmos, the bearer of Orbits, the OG of "can't give me that" passives for Eddies. He just works. And he's on a horse, c'mon.
3) Mystic. Celestial Talis are tailor made for him, coupled with chars with high special and extra turns, he's a Doom machine. Great for a tank team // Silvers. Also, Gunner Anubis is a total bro.

Honorable: Hallowed//Clansman: No, my turn hasn't ended yet. Yes, I can do this forever.

As for the other Eddies thrown around here, like LAD... he's just all over the place with a superb fury. Leads to weird teams.

Awakened Viking Eddie Hype however! Let's hope he's good enough to make him wear something other than earthquake talis ;P