There's nothing I'd recommend for a few hundred dollars. Instead do like others recommend, take your time and plan for bigger moves. Baby steps, you will notice- and be ready for another baby step next week. Great strides, you will find the right table yields magnificent performance you could go with happily for years and years. Totally worth it.
Keep in mind its not just the table. Its the table, arm, cartridge, and phono stage. Any one of these alone can elevate your music like you won't believe. Buy the right arm and it will serve you well through years as you upgrade phono stages. Or the right phono stage as you upgrade table, etc. My analog front end was built this way, with a table I'm still impressed with some 20 years later. Not many things in audio you can say that about. With turntables its rather common. So stop and think and take your time.
Meantime pick up some Nobsound springs, fO.q tape, and Walker Enzyme. Any one of these will be at least as big an improvement as you're likely to get from just a $600 table, and for a fraction of the cost. Hence the recommendations.