My 11 year old daughter and I have bonded by playing our TG-16 together. She absolutely loves the Bonk series and is quite good at it. The TG-16 library holds her attention, while the SNES, Genesis, and the N64 do not come close. Does anyone agree with me that the TG-16 has a unique magic about it that makes it the best family system.
XaviX is the best family system. That said...
My daughter (12) likes TG-16, probably because I told her she couldn't get Pokemon _______ until she completed all the missions in Falcon, Gunboat and Yo, Bro (she still hasn't completed Yo, Bro). This has saved me a few dollars over the past 6-8 years.
My daughter loves DS/3DS the most, but I am happy she has been interested in the 8-/16-bit consoles of yore.
I haven't answered the question because my twins (5 years) are much happier playing games on iPad than handhelds/consoles. They are better at CrossyRoad, for example, than I am. When I showed them Frogger, they could play it, but it wasn't as exciting for them.
Damn. I am a dinosaur.