There are already some radios in internet world, but I like musicovery - an interactive webradio- most currently. It has clean, simple but very nice interactive interface.
It's easy to operate, just pick music genre, set period of year, mood, hit/ non hit, danceable or not and sound quality.
All those choices then will appear on the right panel as a map of song titles, each song has colour depends on its genre. The radio then will play continuously from one song to another based on that map.
It's become my new internet companion now.
...Andrea Bocelli...Con te partiro...Lenny Kravitz...I belong to you...Luigi Boccherini...Quintette cordes, op 115: minuetto...Verve...Bitter Sweet Symphony...