Stuck on two. 20 across - Standard American university, Yale at heart (5) ?S?A?.40 across - Riddles cracked in games (7) ?I?D?E?. Thank you in anticipation.
40 I have seen answered as Dreidls (anagram of riddles)
Personally I think it should be Enigmas (anagram of in games)
However, neither match your letters. I think the compile has got it wrong and the entry should be Riddles!