I don't have a lot of Imperium-spanning establishments IMTU; the closest I come is Bay 12, Please! which is a bar-and-grill chain found in many class A and B starports in A quadrant of Ley Sector, sorta like TGI Friday's and mostly known to cater to brokers and starport keypunchers who prefer watered-down drinks; it's the kinda place real spacers avoid if possible.
I do have local eateries with offworld origins reflecting nearby systems and cultures, so in my Reaginworld
Beltstrike campaign, you have Stroopwaffelhuis, Koopman's Chop House, Sari's Noodles, and De Oude Brouwerij which have their origins among
junkers of Dutch and Indonesian extraction - Stroopwaffelhuis and De Oude Brouwerij are both chains based on Arnitag. Cantina Cohete, Paco's Tacos, and Pupuseria Salena trace their origins to the worlds Almira, Valisa, and Selena, all settled in part by Solomani with origins in Central and South America. Falafel and Family is owned by
whitestars from Helena, with origins among Greek, Macedonian, and Turkish Solomani settlers.
Reagin's World, the largest and most populous planetoid in the Reaginworld Belt and site of the system's class C starport, has exactly two local industries aside from belt mining: one, a factory for reconditioning vacc suits and two, Green and Pleasant Land (GPL), which turned old mining tunnels into a mushroom and algae farm. Fungi make up a significant part of the
mollies' diet, as reflected in the restaurants Shroomburger - a fast food joint - Fungi Factory, Morel of the Story - fine dining - and Al Gee's Family Buffet, with its cartoon alga mascot.