Several excellent cafes and quick-service drive-thru locations offer fast pickup services for coffee, espresso, and breakfast.
Specialized Coffee & Bakery Drive-Thrus

1802 Roasters 4.5 (116)$1–30 Coffee shop
1206 N, 1206 Cypress Ave
Order CallDirections Website 1206 Cypress Ave, Los Angeles, CA 90065. This informal local coffee house, roastery, and bakery roasts its beans on-site and features a dedicated drive-thru window. Open Monday to Friday from 7:00 AM to 3:00 PM, and weekends from 7:30 AM to 3:00 PM. Expected price range is $1–$30.

Starbucks Coffee Company 3.9 (1.9K)$1–10 Coffee shop
1401 Alameda St
Order CallDirections Website 1401 Alameda St, Los Angeles, CA 90021. A fully equipped corporate coffeehouse optimized for fast, handcrafted espresso, tea, and pastry pickups. This location features a drive-thru and is open 24 hours a day, 7 days a week. Expected price range is $1–$10 . Alternate 24-hour drive-thru branches are located at 1277 N Western Ave and 1106 Cornwell St.
Casual Breakfast & Diner Drive-Thrus

Gus's Drive-In 4.5 (2.1K)$10–20 American
1657 W 3rd St
Order CallDirections Website 1657 W 3rd St, Los Angeles, CA 90026. A casual, fast-moving counter-service diner that provides standard breakfast items, coffee, and quick-pickup options via its drive-through window. Open daily from 8:00 AM to 9:00 PM. Expected price range is $10–$20.

Lucy's Drive Thru 4.0 (692)$10–20 Fast Food
1568 W Pico Blvd
CallDirections 1568 W Pico Blvd, Los Angeles, CA 90015. An old-school, always-open drive-thru joint that serves morning coffee, breakfast items, and standard fast-food plates. Open 24 hours a day. Expected price range is $10–$20. An alternative location is open 24/7 at 1373 S La Brea Ave.
If you are looking for choices in a specific neighborhood, please share your zip code or cross streets . I can also tailor options if you have a preference for local boutique roasters over national chains.