Actually, I've :
-> Modern combat 4
-> Asphalt 8
-> Dead Trigger 2
-> Plants vs zombies 2
-> Real Racing 3
-> Riptide GP
-> temple run 2
All run fine, no touchscreen problem.
With Dead Space and NFS most wanted, I've had touch screen problem
How do you install them : playstore / apk / restore.
Maybe try to wipe data for each game
Sony Xperia M2 KK
Unlocked bootloader / Root / xposed / foldermount / RIC disable thanks Naufal Sidik