Lower the air pressure to just above what won't give a warning, and it should be softer. At a price of wear and mileage, of course.
And, as others have said, switching to 17" with more sidewall will help.
I'm not sure I'd want to change to softer rubber if living in L.A., unless having a big tire budget.
I myself prefer hard suspension and soft tires as opposed to soft suspension and hard tires. So I'm a bit worried that when I switch over from the 17" winter wheels to the 19" staggered summer ones, it's going to be rough, and I'll have to invest in yet another set of wheels. We'll see.