As usual I'll disagree with a lot of people (except the above post from SA).Jose Mourinho
AVB
Arsene Wenger
SAF
Lawrie Mac
Being a top manager has very little to do with being a top player.
Why would we want a manager with Champions league experience? If he's available he obviously wasn't very good at it! All managers with Champions League experience started without it and were good enough to eventually get it! Eddie Howe does have Champions League experience - last year he played 8 games against Leicester, Arsenal, Tottenham and Man City (and he beat us too) Not saying he should be our manager but he's not bad!