So.. this decade old Fantasy Gladiator Manager indie was just released on Steam.
I'd never seen it. Looks like it's got more than the few other team management fighting games. Including turn-based tactical combat (which somehow reminds me of the old Gold Box combat).
Guessing someone here has probably played it in the past. Looks like something I'd enjoy while on my laptop, getting a little brain exercise without any twitch.
http://store.steampowered.com/app/531110/
Obviously not a looker, but I'm okay with that when it comes to (primarily) text management sims.