Rather than hijack the Boardwalk Empire discussion for this, here’s a new thread.
Richard Harrow on that show is fast becoming one of my all-time favorites.
Others I particularly enjoy have been:
Happy on Sons of Anarchy
Boyd Crowder on Justified
Cho on The Mentalist
Kalinda on The Good Wife
Both the main guys on Terriers deserve mention even if the show got zapped.
Help build a list of worthy people and maybe we can have a poll if there’s enough interest.
Sheldon Cooper on the Big Bang Theory. I want to marry him.
Sterling Archer - Archer
Daryl - The Walking Dead
My favorite Boardwalk Empire character is and forever will be Arnold Rothstein.
Others:
Joan Harris from Mad Men (I could fill up this entire list with just Mad Men characters, honestly)
Raylan Givens, Justified
Nick Miller, New Girl
Donna Paulsen, Suits
Jane Kerkovich-Williams, Happy Endings
Bronn, Game of Thrones
I really like Patrick Jane, title character of the The Mentalist, and Kimball Cho, one of that show’s supporting characters. Jane is just fun to watch in general, and Cho is very engaging. It occurs to me that the two of them are very much alike in many ways. They’re both only nominally interested in the law, and though they seem to be subordinate to Lisbon, in fact neither of them ever does anything that they don’t wan to do in the first place. And I don’t think it’s because they’re simply ornery; I think they feel doing things they don’t think they should do is immoral. Works for me.
I also like Lisbon. She’s a bit too lawfully constricted for me, but I like the way that she obviously loves Jane but genuinely can just barely stand him. It’s an amusing conflict, particularly because the conflict isn’t reciprocal. That is, Jane loves her no less than she loves him, but he finds her a lot easier to get along with than he does.
Rigsby and Van Pelt are … okay, I guess. But kinda boring. And I’ve liked two of the four bosses.
So you’re okay with never having sex and with having to enable his 1296 separate antisocial behavioral eccentricities?
Snow White: Once Upon a Time
Mulan: Once Upon a Time
Rumplestiltskin: Once Upon a Time
I adore Walter from “Fringe.”
I have a great affection for Cho and Jane from “The Mentalist,” too.
John Reese from “Person of Interest” is, well, very interesting. It doesn’t hurt that he’s awfully easy on the eyes, too.
I also am quite fond of Daryl and Glen from “Walking Dead,” too.
Charlie Eppes from Numb3rs
Harold Finch/Crane/whatever his last name actually is on Person of Interest
The Doctor from Doctor Who
I agree that Jane & Cho from the Mentalist are good characters.
Also Kalinda from Good Wife.
Love Gold on Once Upon A Time. Amazing what a talented actor can do.
I find so many characters fun on Big Bang Theory, and so many fascinating on Breaking Bad that it’s hard to choose.
Good characters make a long running show worth watching.
eta - CatWhisperer - thanks for reminding me about Walter. I gave up on Fringe, but Walter is one of my favorite characters ever. John Noble deserves awards that.
Richard Harrow on Boardwalk Empire. Very compelling character.
I forgot another enjoyable character. Nolan, on Revenge. He certainly gets the best lines.
Huck in Scandal. Fascinating character; his speech at the AA meeting is unforgettable, especially whenever he says “whiskey.”
Let me just respond with my usual “Jim Rockford.”
Is there a show I don’t know about, or do we just have different definitions of Current and Recent? 
Louise Belcher on Bob’s Burgers
Cyril Figgis on “Archer” – “I’ve just been jacking it…you know…on the telephone.”
Jenna Maroney on “30 Rock” – “I know what you’re going through. I caught a lot of flak when I ate the pig that played Babe.”
Stan Smith on “American Dad” – “Sorry I’m late, I was getting a piping-hot cup of coffee. It’s far too hot to drink, but luckily my leathery man-mouth can take it.”
For Scandal, I would add the President’s Chief of Staff. He has had some outstanding monologues and delivered them perfectly - just the right amount of humanity, false humility, and menace.
I don’t find many of Sheldon’s behavioral eccentricities antisocial. I think Sheldon would be easier to get along with than 90% of the people I know.
I haven’t seen Archer, but Daryl Dixon is definitely a person you want with you in a zombie apocalypse.
In Leaffan’s defense, timeless supersedes current and recent. 
I’ll take Sherlock from Sherlock, since no one else seems to have mentioned him. Hell, Jim, too.