To be honest, we here at BW didn't really discuss the logistics of posting individual Best Of lists in a year that saw us agree firmly on the releases of a certain few bands. Which is rarer than you might think. To avoid redundancy, see
Nat's post for two albums which will probably make a heap of Best Of lists worldwideweb-wide, with mine no exception:
Passion Pit - Chunk Of Change EP
Bon Iver - For Emma, Forever Ago
There were albums this year that had moments of sheer individual brilliance, from people as diverse as T.I and Bob Dylan, but it only seems fair to include the albums which got the most overall burn. So, as dictated by my iTunes play count, I present you the other 3 best albums of 2008 :

Kanye West - 808s and Heartbreak
Kanye's decision to move beyond his comfortable, highly successful mould as a hip-hop producer is demonstration of a commendable ambition, and largely unsurprising for someone with an ego as healthy as his. Like him or hate him for his bold claims about being 'the voice of a generation', with 808's, Kanye has managed that rare feat that is sporadically achieved in pop music: the ability to craft an album that will influence the sound of pop music for the immediate, and perhaps lasting future.
(On a sidenote, anyone unconvinced by the new material should try to catch a live show, as some of the BW family did last night. Moments of earnest indulgence from Mr West did nothing to stymie a concert that at times reached obscene levels of fun.)
The Hood Internet - Lykke Li minimix
I thought Lykke Li's album was amazing in and of itself. But it seems to have been the most fertile ground for people wanting to do mash-ups or remixes since Paper Planes. The Hood Internet's signature approach pairs her transcendent vocals with a range of sweetly tessellated beats, from the beautiful ambience of The Field and Gui Boratto to dancefloor bangers with Hercules & Love Affair and Booka Shade. When quite often mash-ups can be merely "oh that's kinda clever," these six little gems leave you more "oh woah that's better."