Your parents don't work and force you to look for a job? This is almost impossible if you have very severe depression.
One job I can think of is a convenience store, but not as a cashier. Instead, it's about organizing the shelves in the warehouse or something like that. This way, there's less communication with people, and occasionally they basically don't prohibit employees from secretly taking away some food that's close to its expiration date (I did this when I was doing a part-time job). But if this still makes you nervous, your parents have to take responsibility and look for a job. They can't just wait for their children to support them.
Ignore those aggressive comments. Depression can easily lead to tension and difficulty in socializing. You need a stable environment and support, but your parents didn't give you these. It's their fault, not yours. How is your relationship with your sister? If she leaves, can you leave with her? The money you spend alone should not be as much as that of your parents together. You can leave together and ignore your parents (if she doesn't hate you, or you don't hate her).