How XCOM's Commander secured funding for the organization despite several countries trying to pull support:
I called dibs on the psionics.
Doctor Zakharov's initial findings regarding the "Flashlights:"
Zakharov: Until we have a better name for them, I would recommend we use the designator “Flashlight” for their platforms. History has shown us that no matter what silly name the men in the field come up with for the enemy, we invariably take their capabilities seriously.
Random XCOM trooper: When we get down there, I want to make one of those Flashlight heads into a hat.
The fact that one of Zakharov's infomorph research teammembers constantly shows up as a giant black cube because everyone's autocensoring his avatar.
Tevos and Aethyta's meeting. For context, the fact that they're talking without killing each other is a miracle in the first place.