Among the title sequences referenced in Leigh's present: Mad Men, Arrested Development, 30 Rock, The Office, Curb Your Enthusiasm, and Community.
Oh, and just so there's no doubt that Oren will be spending the rest of their marriage trying to make this up to her with jewelry, here's what Leigh wrote when asked if she used a modified version of the Adventure Time intro for the "Birthday Time" sequence:
Oh man, modifying with photoshop/aftereffecs would've taken forever! (with so-so results). The horrible truth is- I started from scratch with adobe Flash!
Birthday presents are hereby canceled.