Can you collect unemployment with an 'Other Than Honorable' discharge in California?

I presume that you mean that you wish to collect unemployment because you were involuntarily separated from the military.

Discharge from the military, for any reason, does not qualify one for unemployment benefits in California (and, I'm pretty sure, nowhere else, either). Unemployment is a civilian system.

Now, you may qualify for assistance from programs under the various "Welfare" laws if you are unable to find a new job quickly. Disability claims must be filed through the Military, however.

If the question involves the impact that a OTH or BCD might have on future eligibility for unemployment in the civilian world (i.e. you took a civilian job, then were laid off): it is irrelevant. OTH/BCD and similar have no legal bearing in the civilian world - they will follow you around when applying for various military benefits and things, but they do not become part of your civilian legal record. That is, it's not like they're treated as a felony or other crime. They can't be used against you in the civilian legal or ordinary government benefits areas.