They're called “record players”. Vinyl is the material (more or less) that records are made out of.
Most self-contained record players available new are poor quality. You certainly won't get anything reasonable for that price. It will damage records, probably not play at a consistent speed, be unreliable and produce a poor sound which will be in mono.
A separate record deck/turntable is a better option but needs to be connected to a stereo system - stereo amplifier and speakers. Again though, you'll struggle to get anything decent at that price unless it's second hand.
I think you need to make sure that your dad would actually want a record player for his birthday. I’ve been a huge fan of music for decades. I still have lots of records in my loft but most were replaced many years ago with CDs. I have two record decks, one also in the loft, another connected to my stereo system (I never use it though). I really would have no use at all for a record player. To me, it would be like buying someone who loved watching TV an old 12 inch black and white TV set.
Of course, your dad might be different but I'd check first.