Hello from Boston,
I am heading to LA in a month or so for business depending on the health situation. I am staying by the LAX airport. Looking for ideas on steakhouses (non chain), old school restaurants and bars! Thanks so much!An "old school" steakhouse that is not a chain and fits your description is Taylor's Steakhouse in KTown. Unfortunately it's not close to LAX.
Taylor's fits what you're looking for, except for location, as does Musso & Franks in Hollywood which has been operating since 1919. Also not close to LAX. A classic.
It's hard to beat Pacific Dinning Car if it ever reopens.
Salt Creek Grill (El Segundo) but pretty much everything is closed and bars well they all closed right now!
The Steakhouse at Marriott hotel at LAX was very good! Plus, a sports bar just outside. I stayed LAX 3 times in a year, last was end of Feb just before the Pandemic and places were closing......so not sure about social scenes now. Conceierges are excellent helpers, and I go to Open Table as well.