What is the most analog sounding CD player under $

All excellent suggestions.

Arcam FMJ series.

Rega as well.

You got a lot of good suggestions but I question the premise of your original comparison question. I've owned a few different turntables and CD players over the years and I've had CD players that sounded more "analog", or in general much better than some of my turntable/cartridge combinations. Sorry, don't mean to derail this conversation but I'd like to hear someone explain what "analog sound" sounds like.

without getting involved in the analog v. digital debate, I think when people talk about an analog-sounding cd player, they mean something on the warmer side.