If you dig Cuban food,
Versailles is a must. Superlative dishes that can easily be shared and friendly attentive staff. Go and enjoy one of their house specials like their garlic chicken with some plantains and Iron Beer. They also serve beer and fresh fruit licuados if you aren't into Cuban soft drinks. There are several locations but I've only ever patronized the Culver City and La Cienega locations. They have small lots but you might deal with street parking in the neighbourhoods.
If you are into 24 hour places, I can recommend two easy choices. For good deli food,
Canter's Deli has been around since the 30s and some of the best matzo ball soup I've ever had. You can get all manner of good food there plus they have a bakery perfect for stocking up on breakfast goodies for your hotel room. One location on Fairfax, parking is free with validation from restaurant but can fill up during peak times.
The other recommendation is
Fred 62 over in Los Feliz. Excellent food that's decently priced, complete with hip locals and good music. A perk for patrons are the sassily dressed waitresses sporting short black Dickie's uniforms + lovely fishnetted / Doc Marten'd legs. One location on N. Vermont with cheap parking around the corner or street.
Pink's is a place where excess and hot dogs go hand in hand. There is
always a line here but the dogs are good and the people-watching even better. They have a small lot in the back, tables inside and on the patio, and total health food.
Yeah, right.
Ye Old King's Head in Santa Monica. I've never called it by its full name but the King's Head is a solid place for liquid refreshment and some fish + chips. I can't recall how long they serve food but it's good and proper British pub fare that goes well with their ales and ciders. They do a proper British breakfast that's oh-so-good. Plentiful paid garage parking within 4 block radius of the pub. Beware of Santa Monica street parking because they ticket plentifully if you let your meter go.
Noma is also in Santa Monica. Check for their hours but they have great bento boxes and excellent sushi. One location on Wilshire, very small lot with street parking as available.
Those are just the ones that popped into my head. More to come as I can think of them.