Radio - Quad FM4, Leak Troughline, see www.fmtunerinfo for other options (invaluable in your case I think) both used models but will leave just about anything else in their wake. the possible exception is the Magnum Dynalab which Andrew Everard recommends highly too. Expect to pay approx £200 upwards. If you like radio that much, take a good look for one of these, get a good FM aerial, sit back and feel smug.
CD - any number of options out there, Rotel RCD 1072, Marantz SA7001 KI-Sig, Roksan Kandy, Pioneer PD-D6-J, Exposure 2010S, Rega Apollo, etc. £500/£600 nets you a brilliant higher end player if you go down the used market route - maybe even into Eastern Electric Minimax territory.
Speakers - Leema Xero's, Dali Ikon's, Tannoy Revolutions or Epos M12s all around the £600 mark.
Amp - Rotel RA-02 (yes, £250 well spent and punches above its weight), Naim Nait 5i, Roksan's Kandy, the Cyrus 6vs if you don't mind it a little lean (which might not fit in with your music) or - again - the used market can deliver some choice items at this price point.
All in one: Arcam Solo Mini, or Linn Classik - speakers as above and could maybe even justify higher too.
Happy hunting!