I LOVE sneakers and with the exception of technical running shoes all of my shoes are roughly $100 or less. Kids like the chunkier ones I think.
All white Nike Air Force 1s
https://www.nike.com/t/air-force-1-07-womens-shoes-GCkPzr/DD8959-100
Converse All Stars
Feiyue king fu shoes
Onisuka Tigers
For colorful “vintage” sneaks try Zappos and look for “Classics” like Brooks, Puma, New Balance with “classic” added to the name. This means it’s a fashion sneaker and not a true running shoe.
Kids seem to like the late 80s / early 90s stuff - so classic Keds, classic all white Tretorn, those Reebok high tops with the 2 skinny velcro straps.
Vans slip ons in black and white check - except get the platform sole to make it more “cool” and less mom.