30 Rock – it has a certain “we’re all equally screwed-up freaks” thing.
Friends – not racially, no (although, I always wonder, even though NYC has every possible race and ethnicity, is it normal for them to all hang out?) but it did start off with one character being divorced from a lesbian; one character the offspring of a sex-loving romance novelist and a sex-loving transvestite; one character having her parents divorce soon into the show; and one character being the offspring of a threesome, her real dad taking off, not knowing her bio-mom or even knowing that she existed, the mom who raised her committing suicide, being homeless and a mugger for awhile, an ethical masseuse, and an identical twin. Being gay was never portrayed as wrong, just something that each of the guys had their own issues with (especially Chandler, who wouldn’t grow up to be a bit homophobic with his dad?). These were all really new to be portrayed at the time, representing the “alternative family” instead of the Cosby/Growing Pains/Family Matters/Step-by-Step/Home Improvement traditional nuclear family.
Becker – it was racially diverse.
Fawlty Towers – it’s Connie Booth (the woman) and Manuel (the Spanish immigrant) who have it the most together and are even a little bit competent.
The Good Wife – Kalinda. She confuses me, but she probably has lips like heroin.
ER – Diverse in terms of gender, race, ethnicity, class, and religion, as well as “people who have tons of issues but are still doctors”.
Star Trek: Voyager – Female captain, Native American commander, black lieutenant, Asian ensign, Hispanic-Klingon female chief engineer, female Borg. All female characters were really strong, successful, and independent, and race was never an issue.
The Event – President Blair Underwood and his hot Hispanic wife.
Frasier – neither class (Martin vs Frasier & Niles) has it all down; they both have their issues.
Psych – Gus (black), Juliet (female), and Chief Karen Vick (female) are the one’s who have the least issues. The white male characters (Shawn, Lassie, Henry) are all pretty messed up (but I love them all).
The Unusual – diverse with race and gender.
The West Wing – Female press secretary, Charlie (black) being the president’s body boy and president’s daughter’s boyfriend (their first kiss on-screen was HUGE at the time and got tons of hate mail), and Ainsley not being the dumb blond sex kitten she appears to be at first sight.