Any recommendations on a good car for first time driver?

I'm a 22yr old female and am just about ready to finally get my first car. I am wanting something that is generally known for being reliable, good on gas and nothing sporty. I am not interested in Hondas as my brother has gone through two already due to their unreliability. They were both kept up but he was constantly having to put in a lot of money into those cars so I'd like to hopefully avoid those.
Added (1). They were his everyday cars for college, only being driven 4 days a week. One last maybe 2 years and the other a year.
Added (2). Yeah I only have a $5,000 budget for the car so I can't afford anything too new!

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