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)