I currently have a Denon DCD 460 CD player which I bought about 10 years ago.

The good news:  it produces rich sound, which I greatly appreciate.
The bad  news:  it has no anti-skipping feature, which drives me nuts.

So, I need a new CD player that does two things:
(1) Produces rich sound,
(2) Has anti-skipping.

Just yesterday, I returned a Bose TriPort portable CD player because
the sound that it produces is not as good as my old Denon CD player.
(It has a great anti-skipping feature, though.)

A price of $300 is ok, although I'd go up to $500 for a CD player that
produces amazingly rich sound. Anti-skipping is very important.

A good place to get some reviews.

http://reviews.cnet.com/4502-6491_7-0.html?tag=ont.pcd&cdi=5502868

Thanks to david1977-ga for providing the above link.

It lists 177 different CD players, BUT it rates only 3 of them. Of
those, only ONE has a "very good" rating. Unfortunately, it's a
portable.

I'm getting nowhere fast. Doesn't anyone have a home CD player that
they really love?

Sorry Rambler I don't use cd players I have a mp3 player. So I really
can not reccomend any of them. I am including a few different sites
with reviews.

Not to good.
http://www.reviewcentre.com/products623.html

Looks good.
http://search.ecoustics.com/Editorial/Reviews/Portable-MP3-or-Portable-CD/

A guide to buying portable cd players.
http://portables.about.com/od/cdplayers/

This one does look good from the ones that I have looked at.

http://www.crutchfield.com/S-0dcnZoYFXHz/cgi-bin/ProdView.asp?g=10220&id=detailed_info&i=158DNE10

I did not realize that today's DVD players can play CDs. Maybe that
explains why there are so few reviews of CD players on the internet [I
had been puzzled why Consumer Reports has almost nothing on CD
players].

In any case, I bought a DVD player (Marantz DV4400), and now I can
thoroughly enjoy my favorite CDs again.

My thanks to david1977. (You were the ONLY person who tried to help
me, and I appreciate that very much.)