Could you also include 'reading' in the title?, I don't watch much anime unless it's online. I try to read as much as much of it as I can perferably by paper back.
Thats how I usually start my anime/manga series reading, I did this with bleach, hellsing, finished ruroni kenshin. I dunno why but there's a better feeling reading a book than watching it online or using a manga reader.
Watching the dubbed versions is usually horrible, voices sound all generic(esp. with bleach most sound alike) clones.
Currently reading
Samurai Deeper Kyo
Mai-HiME
need to find Kurogane eventually and prove Neisan wrong after I finish it that Kenshin is better=P
Read most of Hellsing
Saiyuki and Saiyuki Overloaded(awesome)
I watch the Bleach and Naruto when it comes out subbed, or try the raw manga when it's up.