Besides the whole lot of samey JRPGs that I'd never stick my head in, I actually don't know any RPG that does those things. One or two at a pinch, but mostly coherent to your wishes. Maybe you should look on the more western-side of RPGs. I could list and describe a few examples if you want...
Personally, I thought the battle system in FF12 was an absolute joke. And random battles are completely fine. Quit whining when you encounter too many and be thankful for the extra EXP that'll help you against the next boss.
That being said, while I do enjoy the classic Dragon Warrior/Classic Final Fantasy turn based RPGs, I think some more action RPGs like Skyrim or Kingdoms of Amalur would be nice. (The class system in KoA was also amazing)
I kind of don't want random battles, but instead maybe ambush or sneak attacks? Like they hide behind bushes, jump down from above, jump from a trench... etc. It wouldn't be random but it'd add some excitement.