My kids ride bikes I built, but neither are classic in the common view of this forum.
My 9yo has a Trek 650c road bike thats about 10 years old and a 20 year old Specialized HotRock mountain bike. The mountain bike is below- I think the only original things on it are the headset and seatpost. Its 1x9 11-34 with a 30t chainring which makes for easy climbing at the 24" wheel size.
My 13yo has a modern 26" tire Marin mountain bike that we built from the frame and a 1998 Raleigh R500 road bike where the only original things are the headset and seatpost. Its 2x9 with a mix of Sora, Tiagra, and 105. Its a 22 year old frame, so its definitely not new!