Hola Sarah, te recomendaría las siguientes series: 

- Aguila Roja

-Entre costuras

-El Ministerio del Tiempo

- Gran Reserva

As a fellow English-speaking Spanish-learner I'm also looking for good shows (and where to watch them). 

Right now I'm watching:

Entre Costuras (The Time In Between) on Netflix and Viki.com which is very good so far

and La Fuga (the Escape) on DramaFever.com which is ok, its like a futuristic Spanish Prison Break

viki.com and dramafever.com are two decent resources for international TV shows, but lean heavily toward SE Asian rather than Spanish but have a few spanish shows. 

Hello, I've been watching "How I Meet Your Mother", It's a comedy series and really helped me to improve my English.

I recommend "Epitafios" to learn Spanish, It was one of the few Latin series I watched and I liked it.

I love Doctor Who, Sherlock, Luther, etc... I suppose BBC has the best series to practice English :)

¿En Español? Mmm... creo que "La Reina del Sur", es muy buena. Buscala ;)