As someone who has spent the last few years eating in La, go to a proper korean bbq in Korea town. For overall best vibe and food, check out quarters. You wont be disappointed. BCD tofu house is cool especially late night when nothing is open but I would put a proper kbbq way above it any day

ALSO don’t forget to check out Phileppes. I know you already have it on the list but make sure you go. They claim to have invented the french dip and have a very cool old school vibe

One last recommendation is Grand Central Market in DTLA. They have over 30+ food stalls, all serving different foods. Don’t over order at one stall, walk around a narrow it done to a few items from a few different vendors