Dr. Kildare
Starring Lew Ayres in the title role and Lionel Barrymore as Dr. Gillespie, the cranky chief of staff with a heart of gold.
Virginia Gregg plays Nurse Parker.
You can find more episodes in the Ear Benders section.
Here is a sample of the online episodes currently available at The Old Time Radio Fan:
At Sea
1950-08-17 (6.13 MB) [26:47]
M.Lewis
1950-09-14 (6.24 MB) [27:15]
Mumkin's First Baby
1950-09-28 (6.35 MB) [27:44]
L.Dunabee
1950-12-01 (6.18 MB) [26:59]
A Morgan
1950-12-08 (6.29 MB) [27:30]
D.Norton
1950-12-29 (6.21 MB) [27:09]
Testimonial Dinner
1951-01-12 (6.13 MB) [26:46]
J Finley
1951-01-26 (6.17 MB) [26:58]
P.Kosloff
1951-02-16 (6.18 MB) [27:00]
D.Cooper
1951-03-02 (6.08 MB) [26:33]
E.Carlton
1951-03-09 (6.1 MB) [26:39]
A Dickens
1951-03-16 (6.13 MB) [26:48]
J Quinn
1951-03-30 (6.19 MB) [27:02]