In recent memory, mine are...
Inter Milan 3-2 Barcelona
Chelsea 3-2 Barcelona
...because they were both very tense, tight, and scrappy. Inter and Chelsea also felt like they had something to prove - Inter from being bested by Barca in the group stages and Chelsea from the injustice of 2009. Both ended up being tight to the last minute, had some really late goals, and some brilliant performances - both team-wise and individually.
What do you think are the most emotional/best semi final fixtures of the Champions League fixtures? Mine are: