I'm not a very big fan of high fantasy (back in the olden day fantasy with swords, kings, riding out to battle, etc. kind of stuff), but I kind of feel like reading some lately. No really long series please! I hesistate at anything longer than five books. Trilogies are ideal to me, stand-alone novels even better!

I have some to recommend- they are all fantasy and have magic sense but not all have swords and dragons...

Stand Alone:

American Gods by Neil Gaiman

Elantris and Warbreaker both by Brandon Sanderson

A Hundred Thousand Kingdoms by NK Jeminsin (it's actually not a stand alone but i didn;t like the next as much and you don;t really have to read them)

Trilogies:

The Farseeer Trilogy by Robin Hobb starting withn Assasin's Apprentice (I love them but some may argue)   after those three you may stop or conitnue with the Tawny Man trilogy (in between are the Liveships which some are argue are her best but I didn;t like).

Mistborn trilogy by Brandon Sanderson (amazing)

Night Angel trilogy by Brent Weeks starting with The Way of Shadows

Everyone loves the Game of Thrones- I do not at all.  Starts strong and then just becomes too drawn out with too many main characters.  Some are great characters but some are terribly boring.

I'll try to think of more...

If you're okay with "mature" series there's the Kushiel Legacy series by Jacqueline Carey - it's split into trilogies, I recommend the first 6 books beginning with Kushiel's Dart.

I'll try to think of some more too, but Michelle's listed most of what I think of in terms of medieval.

You might like Naomi Novik's books though, it's an alt-history with dragons injected into the Napoleonic Wars.  It's brilliant, really.  There are 6 books right now, but they're not "epics".

Have you read L.E. Modesitt's stuff?  His Recluce world isn't one long drawn epic, it's a collection of stand-alones and duologies, I believe.

 I would second the Brenk Weeks and Brandon Sanderson books.

Another good series that is finished is Codex Alera by Jim Butcher - it is six books, but they aren't super long.

Ditto Sanderson's Mistborn series.

-RD

I think Poul Anderson's "Three Hearts and Three Lions" would fit your criteria 

I really enjoyed The Tamir Trilogy by Lynn Flewelling. It starts with The Bone Doll's Twin.

Trying to remember some others that have not benn mentioned yet.