Cells Alive (http://www.cellsalive.com/) and virtual cell animations (http://vcell.ndsu.nodak.edu/animations/).
http://www.hhmi.org/biointeractive
CSHL DNA Learning Center Animation Library: https://www.dnalc.org/resources/3d/
This isn’t an “animation” but it’s worth watching (at least once). My friend at UC Berkeley watched this in one of her undergraduate classes…
Protein synthesis: an epic on the cellular level – 1971. Stanford. Narrated by Paul Berg, 1980 Nobel prize for Chemistry.
https://youtu.be/u9dhO0iCLww, The action starts at 3:10
Organismal Bio animations from Howard Hughes Medical Institute (Cell Bio and Genetics animations also available – see Topics menu)
GeneEd from NLM (Choose topic to see animations)
https://geneed.nlm.nih.gov/index.php
Virtual Cell Animation Collection from the Molec and Cell Bio Learning Center (North Dakota State Univ)
http://vcell.ndsu.nodak.edu/animations/
DNA Learning Center from CSHL
https://www.dnalc.org/resources/3d/
General and Molecular Bio animations from Sumanas, Inc.
http://www.sumanasinc.com/webcontent/animations/biology.html
http://www.sumanasinc.com/webcontent/animations/molecularbiology.html
Higher Ed animations from Concord Consortium (narrow to Bio in left-hand column)
https://concord.org/stem-resources/grade-level/higher-education