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vampire academy
Richelle Mead's website. there is an exert on the Vampire Academy pages
Definitly vampire Academy series
Yes otherwise u will be very confused :-/
I have read the first Vampire Academy novel, and the first two books of the Mortal Instruments series. My vote would definitely be for City of Bones.
An older but awesome series that has several books Night World by L.J. Smith. You can check out the books here: http://www.vampirelibrary.com/books/ljsmithn.htm.
You don't
Montana!
Twilight, Vampire Diaires, and Vampire Academy
Actually I have read most of the ones you've read but more. good ones are The Blue Blood Series, Vampire Beach Series, The Host, Evermore series, Cirque Du Freak Series, Night World series, Vampire Academy Series, Vampire Kisses Series, Twilight Saga, (these next ones aren't vampire books but there good) 9/11 Series, The Last Song, Witch and Wizard, The Guardian, and Dear John
Richelle Mead wrote the Vampire Academy series.
The series starts with Vampire Academy, and is followed by Frostbite, Shadow Kiss, Blood Promise, Spirit Bound, and Last Sacrifice