A full blown limited gun would be a STI/SVI frame, with a bull barrel, tungsten guide rod, full length dustcover, 2 lbs trigger, 40 cal, hicap mags that hold 19-20 rounds, and a nice big magwell. Of course it won't be IDPA legal. IDPA prohibits the bull barrel, tungsten guide rod, full length dust cover, magwell must fit within the box, and you are stuck with 10 rounds or less.
Any IDPA gun can be used in Limited, might not be ideal, but can be used.
For SSP, a Para LDA in 9mm would be pretty good, too bad they don't make a single stack.
ESP- any single stack 40 or 10mm that holds 9 rounds, key thing 9 rounds.
CDP-any single stack 45.
The suggestions above are for gamer guns.
I think a good limited gun that can be used for IDPA would be a SVI wide body frame with a bushing barrel. You can easily swap out the big magwell for IDPA and switch to 126mm mags instead of 140mm. You will be stuck shooting ESP though.