What, are you kidding me?
Owning and maintaining a car not only provides you with personal, on-demand transportation door-to-door, it also demonstrates to people in your community and professional life that you can accept and handle responsibilities. Also it benefits your credit history by demonstrating to the financial community that you can dutifully pay off an installment loan on a car on time and in full every month. Being a competent, skilled, careful driver also demonstrates that you're a mature-minded adult by not violating traffic laws resulting in citations being issued.
If you actually believe that employers, for instance, don't check things like your credit history and driving record as part of a pre-employment background check, then you're clueless, because they do, and having either of those things reported as not-so-good can prevent you from otherwise being offered a job.
Meanwhile if you never evolve past riding the bus everywhere you'll look like you either can't or won't mature into an adult, because it gives the impression that you refuse to accept adult responsibilities. You can deny this is true all you want but that's the way modern society works.
Riding the bus is fine when you're a young person or if you're just plain too poor to do otherwise, and people will understand that up to a point, but beyond a certain point you either move forward with your life or you get left behind. Public Transit exists as a tool to enable people to get over that threshold in their lives, be able to get some sort of work, and start building a life for themselves, but it's not intended to be the be-all, end-all, at some point you have to leave it behind.
It's sad that some people never rise out of poverty and have to use the bus their whole lives, but if you can progress past that stage you should do it.