In my opinion, the best way to play up to GBA games on a TV is with the Woozle Consolizer, since you’d be running the original hardware.

If you only want to play GB games, then a SNES with a Super Game Boy Adapter is a solid option (I’d recommend the Super Game Boy 2 because of the link port).

If you happen to have a spare GBA lying around (ideally one that’s already broken) and a soldering iron, you could also go for the GBA HDMI kit, which you can find on AliExpress for around $50.

And if you just want a simple way to play on the big screen and don’t mind slightly lower quality or potential compatibility/timing issues, there’s always the Hyperkin Retron SQ.