DOCTOR WHO
Doctor Who is a must if you like shows that are funny, smart, dumb, self-aware, fanservicing, and sometimes really quite moving. If you're new to Who, start with Series/Season 5 of the reboot with Matt Smith as The Doctor. The first two seasons of the Eleventh Doctor are on Netflix, and the third that just wrapped up is available streaming on Amazon
In fifth grade, I bought a TNG lunchbox at a thrift store after discovering afterschool back-to-back TNG/DS9 in syndication. It's like coming home. Jean-Luc Picard, Riker, Data, Troi, Geordi, Worf, Crusher... and Wil Wheaton as Ensign Wesley Crusher. (I know this might be sacrilegious here in these hallowed internet halls of geekery, but am I the only person who wants to punch him in the face sometimes?)
TNG is on Netflix and streaming on Amazon
Why, Riker, why??
SHERLOCK
Ok, this isn't sci-fi, but it's damn fine TV for geeks. Bilbo and the bad guy from Star Trek Into Darkness finally hit the nail on its homoerotic head and blow pretty much every other Sherlock Holmes adaptation out of the water. (I feel like Tobias Bluth... "There's gotta be a better way to say that.") The fanfiction for this show must be insane.
Watson's patience and awe of Sherlock's Asperger-fueled genius fluctuates with his entirely understandable frustration. But really this is the Benedict Cumberbatch show, which is all anybody really wants it to be. The Series 2 ending made me cry and scream... my dog had no idea what was going on. But don't worry, SPOILERS, SWEETIE.
But the real answer to the question "How can I avoid going outside?" is so obvious. May 26 -- all your dreams come true: Arrested Development, Season 4, 15 episodes streaming on Netflix. Really, it's a good thing I'm unemployed or I'd have to take the day off of work.