Here is the list of games which I tested on my galaxy core
1.Asphalt 7(Smooth)
2.Asphalt 8(sometimes shows a little lag)
3.The Amazing Spiderman(Smooth)
4.Modern Combat 4(Smooth)
5.NFS Most Wanted(Smooth)
6.Dungeon Hunter 4(sometimes lags)
7.Dead Trigger(Smooth)
8.Dead Trigger 2(Smooth)
9.Despicable Me Minion Rush(Little Laggy)
10.Redline Rush(Smooth)
11.Sonic All Star Racing(Smooth)
12.Subway Surfer(smooth)
13.Temple Run(All 4-Smooth)
14.Vector(Smooth)
15.Alien Shooter EX(Smooth)
16.GTA 3(laggy)
17.Gangstar Vegas(Smooth)
18.Gangster Granny(Smooth)
19.Call Of Duty Strike Team(Sometimes Lags)
20.Swordslinger(lags)
21.Plants vs Zombies 2(Smooth)
22.Total Recall(Smooth)
23.Resident Evil 4(Smooth)
24.Neon Shadow(Smooth)
25.GT 2 Racing(lags)
Keep Updating with games you have tried
1.Asphalt 7(Smooth)
2.Asphalt 8(sometimes shows a little lag)
3.The Amazing Spiderman(Smooth)
4.Modern Combat 4(Smooth)
5.NFS Most Wanted(Smooth)
6.Dungeon Hunter 4(sometimes lags)
7.Dead Trigger(Smooth)
8.Dead Trigger 2(Smooth)
9.Despicable Me Minion Rush(Little Laggy)
10.Redline Rush(Smooth)
11.Sonic All Star Racing(Smooth)
12.Subway Surfer(smooth)
13.Temple Run(All 4-Smooth)
14.Vector(Smooth)
15.Alien Shooter EX(Smooth)
16.GTA 3(laggy)
17.Gangstar Vegas(Smooth)
18.Gangster Granny(Smooth)
19.Call Of Duty Strike Team(Sometimes Lags)
20.Swordslinger(lags)
21.Plants vs Zombies 2(Smooth)
22.Total Recall(Smooth)
23.Resident Evil 4(Smooth)
24.Neon Shadow(Smooth)
25.GT 2 Racing(lags)
Keep Updating with games you have tried