I can't believe anyone would rec. the Rega 3. Yes it's simple but the ball bearing used has to be of the lowest quality. Take it out and roll it - it will move like a drunk - all over the place. As for the standard RB300/RB250 arms - what a joke, do them up any tighter than loose, yes I did use the word loose and they sound awful.
The Technics SL series are in another class as standard. I bought a Rega 3 and there was so much noise from the crap bearing that I initially wasted good money buying an external PSU. Then one day whilst buying s/hand an excellant pair of Heybrook Sextet Mk 1V speakers, the seller persuaded me to buy an old Technics SL120 for a knockdown price.
I only bought this because my partner had lots of 45s she liked to play and it there was no stupid having to remove the platter to move the belt from 33 to 45 as with the Rega. One rainy day I decided to set up the Technics and was shocked - by the silent playing. The external PSU is now used with my CDP.
Look for a s/hand one and definately not one which has been used for DJing - it will serve you well and there are lots of mods to improve it that you may never look for another one.