Holy crap! I bought too much stuff! Didn't get Licensed by Royalty, but got Emma bundle (both box sets) for $45, Mospeada box set for $13, Mushi-shi box set for $27, Peach Girl box set for $18, Suzuka box set for $17, all of My-HiME for $3/disc and a couple other things.
I disagree that anime is expensive. It can be downright cheap if you find a deal on it, just like any other DVD you can buy.
I do understand that buying is tricky if you don't quite know what you're getting.
Ghost in the Shell has two seasons ("SAC" or "Stand Alone Complex" and "2nd Gig"), plus "summary" movies of the two seasons ("Individual 11" and "Laughing Man") and maybe three "real" movies (self titled, "Innocence" and "Stand Alone Complex"). I've never seen any of it, but one of my friends highly recommends it. Seems to be a futuristic cyberpunk action type of story. The two seasons are currently priced at $25 each, which is pretty good for over 10 hours of entertainment per set. Not sure what I would recommend because as I said I've never watched any (but hope to some day).
For low priced series recommendations that I've actually watched, basically what I just purchased, plus a few others I remember (rightstuf site is down for me right now so I'm doing everything from memory):
Mospeada $13
25 episodes
This is what the third generation of Robotech was based on. Released in 1985 so it looks dated, but I found it entertaining enough.
Peach Girl $18
26 episodes
High school romance anime, on the more mature side (by this I mean geared for older audience, not Hentai).
Suzuka $17
26 episodes
High school sports and romance anime.
Emma $44
24 episodes (two box sets)
Set in Victorian era England, a maid falls for a gentry but they are kept apart by class divides. This anime is pretty awesome because it tries to portray a bygone era fairly accurately. Let's put it this way - my wife told me to buy it!
Armitage III Dual Matrix (special edition) $7
movie
This is not a series, but it is really cheap for a decent cyberpunk action movie plus the special edition comes with an action figure and is packed in a metal lunch box.
Love Hina $20
25 episodes
Classic harem anime (1 guy, many girls) with lots of comedy and wackyness.
Here's some more that I recall being low priced, but can't remember exact price:
Elfen Lied
Mutant girl who was abused as a child goes on murderous rampages. Very violent.
Full Metal Panic, The Second Raid
Third season of a great and entertaining series with lots of action and humor.
Noir
First of the "girls with guns" trilogy from Bee Train. It has, er, girls with, ahem, guns. Yeah, they kill people and stuff. The back story is that they don't remember their past and there is an ancient secret society that pulls strings in the background. "Noir" is a mystical duo of maidens who are assassins and these modern two girls with guns assume that moniker and hire themselves out for hits. Unfortunately they become targets of the secret society. Great action and a wonderful soundtrack.