RPGs: Random or Visual Encounters?

In an old-school RPG, you normally encounter enemies just by moving your character around the screen, and all of a sudden you're in battle. However, nowadays, you can see an enemy visually on the map, and just go to it to start a battle. Which types of encounters do you prefer?

I definitely prefer the visual attacks. You can see the enemy clearer, can make long-range attacks easier, and you can even get sneak attacks (if you're lucky).