for consoles, most 1080p TV will do (arguments regarding console output resolution aside).
for PC gaming however, it's a heckuva lot complicated and difficult. you got issues like input lag, lack of 4:4:4 chroma subsampling support, ghosting, etc. (which game/PC mode may or may not significantly reduce) which you can only troubleshoot personally or from another owner who's done it before you. it's a bit of a gamble if it'll come out ok out of the box or not.
some lists of TVs with 4:4:4 chroma subsampling support as well as some info on an EDID override fix;http://www.avsforum.com/t/1381724/official-4-4-4-chroma-subsampling-thread