You're going to be seeing a lot more Edgar Kennedy and Thelma Todd, I assure you. Like The Three Stooges and Columbia, Laurel and Hardy and Hal Roach have their regulars as well, and Thelma Todd and Edgar Kennedy are amongst them. One of the other regular supporting players, James Finlayson, actually was the inspiration to Homer Simpson's, "Doh!" The creators of The Simpsons admitted as much.
If you liked those three shorts, the series gets even better.
Edgar disappears fairly soon, leaving Roach in 1931, while Thelma became busy starring in her own Roach shorts series with Zasu Pitts [and later, Patsy Kelly].
Yes, Hal Roach Studios supplied L&H with some of the best comedy character actors in the business, and the quality of these comedies owes a great deal to them too.
From 1932 to 1934 Charlie Hall and Mae Busch settle in, alongside Finlayson, as the boys' most frequent costars. Plus, memorable supporting appearances by Billy Gilbert, Anita Garvin, James C. Morton, Walter Long, Daphne Pollard and others. A tradition at Sons of the Desert
meetings, is to open the events with toasts to Stan, Babe, and costars Finlayson, and Mae & Charlie (as well as SOD co-founder Al Kilgore, creator of the organization's escutcheon).
It's also fun to see faces from the Stooges' Columbia shorts... the above-mentioned Gilbert, Morton and Long, plus Gladys Gale, Bobby Burns, Fred Kelsey, Stanley Blystone, Charles Dorety, Sam Lufkin, others. Daphne Pollard is a very funny 'Mrs. Hardy' in THICKER THAN WATER (1935) and OUR RELATIONS (1936), with her Stooges connection having been Shemp's costar in several Vitaphone shorts, e.g., A PEACH OF A PAIR (1934), SMOKED HAMS (1934), etc..