Not sure what else is out there, but the TMCx accelerator program is specifically designed around biotech startups and was created to build up the (bio)tech startup ecosystem around the texas medical center (largest medical center worldwide)
In the biotech space part of that incubation/culture can come in the form of shared lab space. Here are a few (in the Bay Area):
- MBC (née QB3) https://mbcbiolabs.com/
- JLabs https://jlabs.jnjinnovation.com/
- StartX https://startx.com/med
- IndieBio https://indiebio.co/
- Bonneville Labs https://bonnevillelabs.com/
There are a number of other governments and entities that are trying to replicate and improve on the model.
Portland has OTRADI https://www.otradi.org/
(help add to the list?)
to note, TMCx is also a JLabs site, fwiw