FACT CHECK TIME! We found every fact in this video:
0:03: Here's that original Lancet study (with a big ol' "RETRACTED" stamp).
1:33: And here's the second Lancet study.
1:50: JAMA study (PDF).
2:27: NEJM study.
2:50: Pediatrics study.
3:03: Lancet study.
3:38: Review of 31 studies by Cochrane Library finds no link between MMR vaccine and autism.
4:04: 2012 update of that review. Still no link.
And for even more, check out this post on vaccines and autism.