Not to be rude, but does anybody bother to READ what the gentleman is requesting? He wants something with PRESET buttons, so stop suggesting analog tuners already! =)
That said, here are my recommendations: It would be nice, I think, to retain a tuning knob, but have the addition of preset buttons. Sony did one of the best jobs of this, and their tuners such as the ST-S730ES or SA5ES are regularly available. Also very similar in circuit design concept (and good sounding too) are the Sansui TU-X701, Luxman T-117, Denon TU-800, and JVC FX-1100 or FX-1010TN, but all without tuning knob. I own all but the Luxman, and they all perform very admirably. Note, of course, that unless you have the IF filters replaced and an alignment done that performance can be variable, as with any tuner. The Audiolab is also reportedly good, but can be hard to find.
Yamaha also produced a very good line of tuners including the T-70, T-80, T-85, TX-1000, TX-2000, TX-900, and TX-950/930 (identical with different display colors). The TX-1000/2000 (identical but faceplate) and TX-930/950 also offer station naming and tuning knobs. I particularly like the T-85 for its auto-tracking discriminator, 4 IF settings, balanced mixer front end, and discreet linear multiplier stereo demodulator, much of which is also in the TX-1000.
Hope this helps. Feel free to ask any other questions you may have.