Quartz Lock direct drive motor manufacturer.

It was a PLL circuit using a quartz crystal IIRC.
You can do it using a Raspberry Pi, Arduino or similar, and a Hall effect sensor to sense the speed.
Photo or proximity sensors are also possible, among others.

A DC motor can be driven from a variable voltage circuit, the voltage will control the speed...feedback will provide correction ability.
The higher the feedback resolution, the better the control.

You can even modify the circuit to add effects like DJs do on turn tables
 
I am not trying to repair anything.

I am working with one of my friend to create a modern Cassette deck Mechanism replacement parts ( just for fun , it may never be commercial)

--> Better Direct drive motor

--> Carbon fibre gear and so on.
 
The link Adelmo provided was interesting in two ways .

One was the ability to construct a base for the DD motor --without any resonances out of a solid piece of wood , if true it would put most classical turntable manufacturers looking a bit foolish and wondering why they employed highly paid design engineers over the past 40 years.

Two was the price of the motor unit and control -- 3500 euros , but it was an achievement finding an actual DIY DD --I must change my search engines !

"Just for fun " Dibya ?-- I admire your imagination but business sense would be a bit lacking , I still think you should use a DD out of an older design as a starting point --its cheaper .

Special design carbon fibre aint cheap just ask NASA -- I am not talking about the building industry stuff .

I look forward to the implementation of your design ideas .