Taylor GS Mini and Martin 000JR-10 would be the two I’d look at in the $500 ish range.
Less expensive ($230 or so), Yamaha FS800 - Kraftmusic used to sell these in a bundle with a case and some accessories.
If younger/smaller, I'd also recommend the Little Martin LX 3/4 series. Taylor makes a Baby 3/4, too. I like the mahogany.