Helluva name huh? 
Dave Dee, Dozy, Beaky, Mick & Tich
Members: (X = deceased)
Dave "Dee" Harman (X)
Trevor "Dozy" Ward-Davies
John "Beaky" Diamond
Michael "Mick" Wilson
Ian "Tich" Amey
Notable Songs:
DDDBMT (as I shall refer to them from here on out) were a pop/rock band fresh outta Britain during the 1960's. They were much like the British Invasion bands The Beatles and The Kinks in their musical styIe though they gravitated towards a slightly more rock sound. First discovered in 1964 after the massive international success of The Beatles, most likely an attempt to capitalize on their similar music, they quickly became a success in the UK, with several chart topping hits. They never quite had as much success in the US, making them less known stateside, and therefore (in the Shiggums book) they're underrated.
The thing I like most about DDDBMT is the guitar (as is the case with most bands I'm fond of). The way they use it in songs like Hold Tight and Bend It really made them stand out among their BI counterparts. While more "unconventional", they made it work. They were softer rock than the others, often incorporating more acoustic guitar into their music than electric (as seen in Don Juan or The Legend of Xanadu).
Another significant feature of their music is the often unusual or erratic beat, usually led by the drums (as in Bend It).
As with many bands from the 1960's, upon the end of the hippie era their music faded out, and the band disbanded in 1972. They've made a few attempts to return to their former glory, with different band members, but never fully gained back their fan base or musical praise.
Overall, while not the best band out there, I definitely feel they don't get much attention among the 60's musical scene, and are too overshadowed by the Beatles. Several great songs make them a much over-looked band.