Chuck,
If you're talking about the material from the early to mid 1930s, I know of the following:
Two 2-cd sets on Kings Cross Music (KCM 001/002 and KCM 003/004). Remastering by John R.T Davies. The first set has:
- Spike Hughes and his Decca-Dents (3/12/30 and 3/28/30)
- Spike Hughes and his Dance Orchestra (4/2/30, 4/16/30, 4/29/30, 5/23/30, 6/27/30)
- Philip Buchel with Spike Hughes and his Three Blind Music (7/5/30)
- Jimmy Dorsey acc. by Spike Hughes and his Three Blind Mice (7/15/30)
- Spike Hughes and his Dance Orchestra (7/16/30, 8/18/30, 9/6/30, 11/5/30)
The second set has:
- Spike Hughes and his Dance Orchestra (11/19/30, 12/12/30,1/23/31, 4/8/31, 6/18/31)
- Joey Shields (with Spike Hughes and his Three Blind Mice (9/25/31, 9/30,31)
- Spike Hughes and his Dance Orchestra (10/13/31, 10/21/31, 11/17/31, 11/18/31, 2/3/32, 2/5/32)
- The Roof Garden Orchestra (2/10/32)
- Buddy's Brigade (same 2/10/32 session)
- Spike Hughes and his Dance Orchestra (3/30/32, 4/1/32, 11/20/32)
There's also a cd called High Yellow (Largo 5129). It purports to include all his jazz compositions ("in his own classic recordings from London and New York including the music for the Frederick Ashton/Buddy Bradley balled High Yellow). It includes material recorded in London by Spike Hughes and his Orchestra and in New York by Spike Hughes and his Negro Orchestra. Mastering also by John R. T. Davies. About half of the material is on the Kings Cross Music sets, but about half of it is not.