I've never cared for the Iceman at all. They just scream "Paul Stanley" to me, and i've never been a KISS fan at all.
When i was a kid, i really liked the Destroyer series (Def Leppard were the first big rock band that i listened to) and also fell in love with Gibson Explorers. I still think they're great guitars... Korina explorers are just gorgeous. I played pointy guitars for a while when i was a teenager, but ended up wanting something more compact, more balanced, and more versatile.
Pointy guitars aren't really my thing any more, though i do still have a soft spot for Gibson Firebirds. I'd love to build myself a seven-string version of one.