I'm loving the phone. Early days but I can't fault it. I've had a Desire for the last 2 years so I can see big improvements, loving the screen. The front camera is great too, ideal for Skype calls.
As far as gaming goes I can't comment. The most I play is a quick game of Angry Birds!
Battery life seems OK to me. It's an improvement on my Desire and as it's a new toy...sorry phone..... I have been playing with It more than normal.
If I had to be picky, my only complaint is the amount of pre-installed apps. Put them on the phone if you must HTC but give me the option to delete them if I want.