For me, there's a time and a place for random encounters. Sometimes, I feel like picking up on a game like classic Final Fantasy where random encounters are abundant. Other times, if I get impatient with that, then I may pick up on a game like Zelda where enemies just roam around the screen.

It can get pretty tedious, but I try not to play those type of games non-stop. It just depends on my mood, and what sort of action I'm wanting out of a game.