Look up different models gaming recomendations. I have a 55" 1080p insignia 240hz (but its not called hz past 120 anymore it was something else but it basically means the same thing) and they are horrible with the input lag. Im currently doing a mass effect trilogy run through to kill time and on my 55" when you have to do the hacking simin says type game it was impossible to complete. I knew I never had a problem witb that particular mini game before so I looked online and found it was a real problem on some hd tv's. I went and unpacked my 47" LG 1080p 120hz tv and it was like night and day. The responsiveness and my aim is so much better. Im considering leaving the LG as my only gaming tv since its almost like compairing ps1 to ps4 graphics only on a control comparison. I did try game mode and playing around with in game as well as tv settings and nothing really worked, when I was looking into the problem it seems its a fairly well known issue with hdtv and there arr lots of resources available to find which brands and models are the best.