But isn't the ZenFone prone to battery life and Overheating problems?

try Xperia z3
its cool and compact i guess?

Holy hell I forgot about this. You can plug this phone into your controller and play Ps4 games on it.

Cheap but cool: Sharp aquos crystal

Expensive and great: Galaxy s6 edge or the note 5.

NOKIA 3310
has snake

I own the Galaxy s6.

It's pretty nice to use for game, indeed, but when you try to switch one game to the other game, the game that you switched will automatically restarted even if you paused it. Different for Zenfone, even if you switched game, the other game won't restart. Just automatically paused.

I recommend Zenfone for games.

How Raiken said already, Asus Zenfone 2 is a must buy at this moment. It's a budget phone with 2GB-4GB ram (depends on the model) and procesors from 1.8GHz to 2.3GHz from intel and it's under 300 bucks. The only problem with the phone is that the Android OS is very buggy and one of the most knows problem with it not only on Asus phones is that the battery drains fast because of the Android OS Lolipop 5.0, but after the 5.1 update it will be OK.

I own this phone and i can say i'm in love with it, the only problem how i said is the buggy android that drains my battery very fast.

You can download games from app store in the blackberry isn't it ?

Some little and simple games, yes. But for gaming, Blackberry is just meh.

Hm, I'll check out thus Asus zenphone.
But keep em' coming.