MSI Nightblade MI 020EU ok?

[KHg8m3r]

That should be sufficient for most games, yes. Probably not the most demanding ones, though, due to the CPU being at a low-ish clockspeed

Depending on how many games you have, you'll probably want to look into adding an 1 or 2 TB hard drive or something, as GC games are like 4GB per game, and Wii can be up to 11GB

As for the kids, yeah, you can make them a profile that auto-opens Dolphin or some other frontend (like steam big picture) so all they have to do is select their game and go.