Been messing and found the following:
Pegglle and Peggle Nights will work but need a keyboard initially. Ideally a mouse to play
Escape from Rosecliffe Island works great. it complains about the resolution in landscape mode but ignore it
Plants Vs Zombies works - needs a keyboard initially to enter your name but after that it is fine/
I think most of the popcap games experience this issue with the name entering thing. I had a bunch and installed them from Steam since they were so small.
Final Fantasy VII and VIII requires a gamepad (using xbox one pad) but both work brilliantly and doesn't drain the battery too badly. There is a small caveat - they both need a single keypress (X) to start. Also, if you are playing full-screen and hit the window key, the game won't recover - if you full-screen again you need to restart the tablet. I have been running in windowed mode 1024x768 and moving the task bar to left or right for this, and then you can also use the on-screen keyboard to press the X.
Sid Meier's Ace Patrol and Pacific Skies both work fine.
One last interesting thing: Origin will happily install games to the SD card and run them directly from the card. I managed to get the SIms 3 installed and it works at 1280x800 resolution (low detail) and is perfectly playable. The game really needs a mouse and probably a keyboard too.