A list of safety videos is available on the Blink safety portal. Some were produced by Dr. Haim Weizman in the Department of Chemisty and Biochemistry, including A Day in the Lab (A PI's Perspective). The other videos were produced elsewhere.
You can also view the UCSD safety videos on their YouTube channel, which may have more recent videos that haven't been embedded on the Blink page.
The Safety Zone blog at Chemical & Engineering News has a of list of lab safety videos (last update: unknown), arranged by topic: emergency response, hazardous waste, pyrophorics, fume hoods, eye protection and more (includes the UCSD videos). The Dow Lab Safety Academy also has an extensive collection of safety videos.
There's also the Napo (Safety with a Smile) film series from European Agency for Safety & Health at Work. "Napo is the hero in a series of animated films that introduce important workplace safety and health topics in a memorable, light-hearted way. The likeable characters symbolises and employee who could be working in any industry or sector."