Back when your CD player was current, it was an excellent value for the money. CD players have progressed since then. If it was my choice, I would go for a new unit. The transport in your player is still probably competitive but the dac section isn't.
My first choice, if you can find a good used one, is a Rotel RCD 1072. I had one and thought it was great. I wish I never sold mine. Some other excellent choices would be Cambridge, NAD and Marantz. All 3 make something in your price range. For me, I like the Cambridge. Not only for sound quality, but build quality, as well.
I'm sure there are some other brands out there that are excellent too. Other posters will probably recommend some of them. I can only recommend what I have heard myself. You should have no problem getting a CD player that will make you happy.
My first choice, if you can find a good used one, is a Rotel RCD 1072. I had one and thought it was great. I wish I never sold mine. Some other excellent choices would be Cambridge, NAD and Marantz. All 3 make something in your price range. For me, I like the Cambridge. Not only for sound quality, but build quality, as well.
I'm sure there are some other brands out there that are excellent too. Other posters will probably recommend some of them. I can only recommend what I have heard myself. You should have no problem getting a CD player that will make you happy.