The GBA only had two TV out cards, the Transverter (which is impossible to get) and the Converter, which is still around in limited availability. The Converter doesn't fill a tv screen as it doubles the pixels so more accurate than the Transverter, however uses less amperage to run; in fact, a GBA and GBA Converter runs less than 500mA together at 8v (7.4v is fine).
Here's how to bypass the ribbon connector from the GBA, which from my experience doesn't work well - took me hours to work it out!
Note, this is for the 40 pin GBA (by the ribbon cable it says "40" or "32" - 32 is the same but the contacts on the board look slightly different but still the same):
Result looks crisp on a screen.
He's a pinout I got elsewhere years ago for RGB: