If your tablet can handle them:
The Room
The Room Two
Final Fantasy VI
Little Inferno
Rayman Jungle Run
Rayman Fiesta Run
M&M Clash of Heroes
Crayon Physics Deluxe
Games in red may require better hardware.
The Room is one of the few games on Android that takes advantage of touch controls in a unique way. I'm not entirely sure how low it can go on the processor heiarchy, by I know that most of anything from the last 2 years should handle it.
Final Fantasy is the most ridiculous priced, but its also a full-game with several dozen hours of original gameplay. Square has good reason to charge $16 for it as it's worth that $16 and has the $16 worth of content.
You can also buy any Final Fantasy from 1 to 6 on Android including FF4 After Years
Little Inferno has a good 4-6 hours of gameplay, but basically all of what you do is burn stuff. Burn Physics*
Rayman Run series has quickly became among my most favorite apps in all of the app store. The problem is that even with a Snapdragon S4 Pro, the game would sometimes choke up. Theres a ridiculous amount of handdrawn detail in these games and I wonder if 1080p on a 10-inch with a 1Ghz processor would be adequate enough.
Might and Magic is a nice puzzle game. Its an HD port of the NDS game. For it's price you're getting what was a full game on NDS, without IAPs
Crayon Physics Deluxe is PERFECT for a 10-inch screen, but I fear again your tablet might not be up to the task. The physics* of each object drawn might be a little much.
*Physics - Let me just say that games with multiple objects that have their own physics can considerably drop frame rate in most games. To put it in perspective, A Physics game like Little Inferno more-than-often dropped well, well below 30 fps, even on a Snapdragon 800 chipset, which is currently the top of the line in mobile graphics processing. You should definately not buy it for your tablet, I'm just giving perspective on how demanding that physics-based games can actually be.
Some honorable mentions since you got a large screen:
Solid Explorer
Dolphin Browser (Free)
Nova Launcher Prime
BeWeather Pro
Smart RAM Booster Pro
Seeder (Requires Root)
Alphadia Genesis because its on sale right now.
Ittle Dew
Fresh Leaves
If youre wondering why nothing I listed is free, I've got three reasons:
#1 Most things Free on the store are often not worth my time.
#2 Any free emulatot=rs I'd suggest are already suggested.
#3 The Playstore has the top 500 most popular Free and Top 500 New Free lists with apps and games. If you don't want to spend money on apps, then you don't need us to tell you what to download as you already have two large lists where you can try the most popular apps in just a tap. You have a large free playground to go play in so you shouldn't ask people on what to play with, just try for yourself. However if you want an opinion on what to buy or buy and try, then I'll tell what I've taken chances on. Its actually remarkably easy to regret purchases on Android, but there are a few fraction I'll never regret. Namely Room, Rayman, Final Fantasy, and Clash of Heroes.