First of all, how committed are you to records. Do you have a large collection? The reason I ask is going to the next step is not cheap and if you do not go that far you will not appreciate much of a difference.
Turntables have to meet certain requirements to " disappear." You should never be listening to a turntable. A turntable must spin accurately at 33 1/3 rpm without adding any noise or resonance while isolating the record and cartridge from the outside world. The cartridge is a vibration measurement device and it does not care where the vibration comes from. Without a proper suspension a turntable can not isolate the cartridge from the outside world.
The least expensive turntable that meets these requirements is the Thorens TD 1600. Up from there is the Sota Sapphire with your choice of arm. Then on to the more expensive Sotas, Basis, SME, Avid and Oracle turntables. The Dohmann Helix 1 is the cream of the crop. The difference sonically between all these turntables given the same arm and cartridge is really quite small. A few of them go out of their way to look flashy which adds to the cost. You will be thrilled to death with the Thorens. IMHO it is the best value in a high performance turntable on the market today.