What is a good quality record player?

Good question.  Vinyl has experienced a resurgence.  A lot of people say vinyl gives music a brighter and more vibrant sound than CD or digital files (although I'm guessing that newly pressed vinyl records are digital recordings...idk).

I think I would start by looking at something made by Pioneer or Jensen.  I believe they still make stereo components, and back when I bought my very first stereo (mine was a JVC), Pioneer, Jensen and Harmon Kardon made top of the line components, although I'm pretty sure Harmon Kardon specializes in speakers...ditto Rectilinear.  I think they were speakers only also.

You know what?  Responding to your question is knocking things loose in my head.  See if TEAC is still making stereo components...they were a quality manufacturer, too.

Now you do understand that an all-in-one "record player" is nowhere near as good as a component system, which has separate speakers, amplifier and turntable, right? 

Now that I think about, starting with Pioneer or Jensen is probably the best way to go.