This rating is fairly self explanatory. The games themselves are generally appropriate for players of all ages.
They will contain no (or at the very worst: minimal) violence. Any violence that is depicted will be animated or fantasy violence. You might see Mario bouncing on a koopa’s head, but you won’t see anything much more intense than that.
Most games that I would consider “family friendly” will fall into this category by default. Board games, most mini game collections, and most mascot platform games (eg: Mario and Sonic) all fall here. Even the most conservative parents will have a hard time finding anything objectionable in these games. Many of them are tamer than an episode of Spongebob.
One thing that I need to stress is that ERSB ratings are rating the CONTENT. They do not rate difficulty. The perennial Madden series is a great example here. These games are rated E for Everyone. But, the game has a steep learning curve because it is a professional Football simulator. Most 5-6 year olds would have a difficult time navigating the menus and playing the game.
Some great examples of E for Everyone rated games are:
Mario Galaxy
Mario Galaxy II
New Super Mario Brothers Wii
Mario Kart Wii
Donky Kong Country Returns
Wii Sports
Wii Sports Resort
Kirby’s Epic Yarn
Super Paper Mario
Super Mario All Stars
Sonic Generations