While I did not get down to Royal Ashdown Forest to play it when I lived in London, there has to be a few holes that fit this description on the old course - the best maybe 6 & 12.
Holes I have played and think are either great, completely unique, or just really fun to play such that you don't even notice the lack of bunkers...
Ballybunion Old - 11
St. Enodoc - 3 & 10 (I really liked the 1st as an opener as well with the view as you crest the hill)
Woking - 9
Deal - 1 (into a stiff breeze to open your round), 4, 18 (6 has a single bunker that doesn't really come into play)
Kennember - 2
Cannot think of any off the top of my head in the US.