OK.....here's a very easy one to get the ball rolling.

[Michael Rawdon]

In order for it to be easy, I would need to be a fan of ELP and PH, but I've never heard anything by them other than their radio "hits"!

Hmm, a little searching turns up a song by each which refers to "skating on thin ice" in the title or lyrics:

Jethro Tull, "Skating Away on the Thin Ice of the New Day", from War Child (1974)
Procol Harem, "Skating on Thin Ice", from Something Magic (1976)
Emerson Lake and Palmer, "Black Moon", from Black Moon (1992)