Probably not on Netflix but they are all available on youtube (and if you pull up the wiki article about it it provides a full episode list)...
 
The Jeremy Brett portrayals of Sherlock Holmes. They go by various names so there is no one specific series name (I think it changes names three times to follow how Doyle published his works). They are considered by many as the penultimate protrayal of Holmes. Very good stuff from the late 80's/early 90's and they covered the most installments of Doyle's works ever and more true to the original writings than most others. Great stuff.
 

If you enjoyed Sherlock, you'd probably get a kick out of some of the other well-made procedural/detective shows.
 
I don't know if they're on Netflix right now, but Psych and Castle are both fantastic.  Snappy dialogue, mystery solving, lovable characters, and high production values.
 
No Benedict Cucumberbatch, but at least you can get Captain Mal Reynolds.
 
Also, Burn Notice is a decent procedural/detective show with clever dialogue and cool characters.  Main draw for me is that Bruce Campbell plays one of the main characters 

Someday I'll get my TV hooked up in my bedroom and start watching.  There are a bunch of shows I want to watch or rewatch once I get the time to do so...

Did we forget The Sopranos? I honestly got sick of hearing about that show so never watched it until recently. Now I know why it was so popular.
 
Oz is another "I think I'm gonna poop myself" type of thug thriller... it's a little cheesily produced by today's standards though but the stories are f*cked.

SONS OF ANARCHY
 

 

If you want something lite, Canadian series: "Murdoch Mysteries" is pretty entertaining.

See if they've got "Home Movies" from Adult Swim.

A very funny animated show ala Dr. Katz..

Thought of another one that's pretty good. Rescue Me with Dennis Leary.
 
And yes... Home Movies is pretty good if you can get past the wonked animation in the first season (you get used to it). It was done by the same guy who did Metalocalypse, Brandon Smalls. Well kind of. In both shows he had different partners but still... it's pretty much Smalls. He does pretty much all the music in both as well which is cool.
 
Oh and if we're going twisted Adult Swim cartoon route... AQUA TEAM HUNGER FORCE (and all the various f*dged up names it used over the years... lol). Watching that show is like being on bad drugs even if you're dead sober.

jamesg1213

slartabartfast
 
 
Peaky Blinders: serial--turn of the century small time organized crime vs the industrial revolution.
 

 
+1 on this, excellent stuff. Hope they put the 2nd series on soon.
 

 
 
League of Gentlemen: Monty Python homage with a sustained sort of setting in-the horror genre meets the English village cliche. The same people do Come Fly With Me to the airport industrial complex. Their Little England is more hit and miss.
 

 
Not quite right Slart - 'Little Britain' and 'Come Fly With Me' is David Walliams and Matt Lucas, but they're not members of the 'League of Gentlemen' crew.
 
'LoG' is dark stuff but very funny.
 
I'd also recommend 'Luther', terrific London-based detective series.
 
 

I watched the first few episodes of Luther and yes, it's quite interesting. It maybe awhile before I get to the others, but I like all the choices/recommendations.  

I've been running out of stuff to watch myself because I don't scour the current entertainment sites, own a tv (not a hipster I swear) and don't even go to any other forums except this one anymore (which I used to and how I kept up a little on pop culture... ya'll turned me into an uber laser focused audio spazz... which is kind of awesome actually).
 
So essentially I'm finding myself reaching into the "nostalgia" bin. I was watching freaking Three's Company for cripes sake! Absolutely awful... but an interesting look at social mores in the late 70's early 80's which is why I stuck it out for a few seasons. ZOMG!!! A single man living with two wimminz!! BURN THEM!!!! Hahahah!
 
Currently still watching Columbo (which is timeless... freaking Peter Falk b*tches!) and Just Shoot Me which is okay because David Spade reminds me of my spazzy neighbor/best friend from when I was kid. Damn that kid cracked me up. Kind of luke warm show at best though but that's the 90's for ya.
 
Simpler times.
 
And now I'll go be old elsewhere.