Hard to recommend specifics as it will depend on what is available locally and when you intend to buy. If you haven't already done so, check AudioKarma. Discussions are directly geared for this subject.
You should be able to find what you are looking for less than $500. You'll need to avoid top of the line model receivers as well as Marantz (mid-late 70s vintage) as these command top dollar. Something like a Pioneer 950 or Sansui 8080 would be good choices. Pioneers were top sellers and many available.
I suggest a late 1970s Rega Planar turntable. Regas are well made and simple in design (belt driven, fully manual). Easy to fix and parts readily available. The Technics 1200 is solid turntable, manufactured from 1972 to 2010. Solid unit but many were used for DJ so need to be careful buying used. Look at turntables from Pioneer, Dual (12xx series), Yamaha, etc. It all depends what is available. Make sure the TT includes a cartridge. Cartridges rarely go bad and you'll probably need to replace the stylus. Replacement styli are available for most vintage cartridges, starting at $15 and up.
Be prepared to invest some money in repair and/or maintenance. I have purchased several vintage receivers, turntables and speakers (mostly 1970s) and ALL required some type of work. If you are lucky, the most any vintage receiver will need is a cleaning and maybe a couple of light bulbs replaced. DC offset, tuner calibration, output bias are other very common repair/maintenance issues.