Good question. Perhaps the key is in how you define a "straight drama". There does seem to be a general consensus that TV programs, books, movies, and other fictional entertainment fall into certain categories like drama, action, mystery, etc. This goes back at least as far as ancient Greece, when plays were either comedies (funny with happy ending) or tragedies (serious with sad ending).
Even within the single category of drama there are, as you suggest, many different genres. My mass-communication text (
Media & Culture Third Edition, Richard Campbell) includes police shows (
NYPD Blue); medical dramas (
ER); science fiction (
Star Trek); soap operas (
One Life to Live); legal dramas (
The Practice); and political drama (
The West Wing), among others. There is also the relatively recent (for television) phenomenon of hybrid
dramadies such as
The Wonder Years and
Ally McBeal.
Given that diversity, it is difficult to concieve of a purely dramatic concept. So MSCL is both a straight drama and fills several genres, such as teen, coming-of-age, family, high school, romance, comedy, contemporary-issues, baby-boomer, sometimes-fantasy, and probably others...
...I think.