Pat,
An excellent point. To me it's obvious that a golf course will be more fun and challenging from day to day if different angles of attack are possible. It's important to make the green to tee walks logical.
Holes in my golfing universe that employ tees with significantly different angles (say 10 degrees or more) include:
Kingsley #9, rather notorious for its 90 degree tee setup
Kingsley #2, #13
Stone Eagle #9
Pacific Dunes #10
Ballyneal #5, #6, #11, #15, #16, #18
(Generally, no tee markers are used at Ballyneal. The custom at Ballyneal is for the player who has honors selects the next tee.)
Kinloch #5, #11
Stanford #2, #5, and #12 are all long par fours with tee boxes that offer different angles/difficulties. #15 also has an alternate box. #17 has rotating upper and lower tees.
Pasatiempo #10, where they should let the men tee from the women's box sometimes.
Note that nothing of the sort exists at the Pumpkin Ridge 36 hole complex. This Cupp/Fought design from 1991 has virtually all tees in a line, except for some women's tees, which enables improved pace of play for mixed groups.
Is this one of those lost Golden Age ideas that is being revived?