This is a remix of https://www.thingiverse.com/thing:2407178.
I printed one of them and although it turned out OK (see photo, upper left), the "grooves" were rather small and prone to collecting debris that could be a bit hard to clean out.
Also, I typically run a 0.5mm nozzle and super fine details can be slightly difficult to achieve.
So I designed this one with 2mm wide grooves and troughs which are very easy to clean if you ever need to.

I also designed it with a 39.5 mm (~1.5") diameter center depression suitable to accept a custom printed label or record logo.
Just take a photo of your favorite record's label, scale it and print it, or download label artwork from a site such as- https://duckduckgo.com/?t=ffab&q=vocalion+labels&iax=images&ia=images (all rights belong to the copyright holders of course, so no commercial usage please)
Double-side stick tape works perfectly to adhere a label to it and if you laminate the top surface of the label first with clear packing tape it will help to waterproof it.

I printed a caffeine molecule coaster a while back, and still have it and still like it.
But I like this one much better because it is more stable on every coffee cup base I have.
I use it on a daily basis and both it and its label are holding up perfectly after several years.

Slight update
I'm still loving this one and have stopped using the caffeine molecule version altogether.
Also, some concerns I had about the PLA material I printed it from turned out to be unfounded.
The hottest thing I have placed on it (almost boiling hot coffee in a cup) did not deform the material in any way.
I wouldn't put a hot frying pan onto it or anything, but a coffee cup presents no problem. :-)