No offense. I won't suggest those to even my enemies.You can buy 8-bit handheld console. You can buy form amazon.
Or you can buy 8-bit TV game console
For 2000 bucks he can easily get a used PSP or a DS. Those have better games and safe for a 8 year old. I play 8 bit games on my psp. Even it is pretty dated now. I bought it to emulate GBA games and power cuts. If you bargain a bit you can get it for 2k as I bought it for 3k. Got one for my cousin too for 2.5k.His budget is below 2000. So, only he'll get only 8-bit console. Kid is 8 year old. So, he may enjoy those games.