I grewed up in the 70s and 80s when there wasn't quite the choice there is now. There was Lyons Maid, Walls and Midland Counties with vanilla, Cornish, raspberry ripple and Neopolitan. I think I liked Cornish the best. Some shops sold the fancy Napoli soft scoop ice cream - I usually had the lime flavour but sometimes orange or strawberry. I never liked chocolate ice cream. King Cones or Cornettos were just becoming popular in the mid 70s.
I haven't had any ice cream for years so I don't know what's popular these days. Is pistachio any good ?