Bookshelf speakers for classical music

Vandersteen VLR's will play any music you throw at them.
And, do it well. But, they need to be placed near a corner to enhance bass response, though you can always add subs, like I do.
Bob

New, Focal Chorus 706 bookshelf.  Not the most refined, but decent enough with front port.  Used,  small Spendors.  Up the ante and some small floor stander Spendors.  Used Rega monitor or small floor standers.

For $500 or less, I’d look at Wharfedale brand. They sound much better than their price might suggest. Many of the previous suggestions are above your budget, new.