Use Your Illusion I & II, both released on the same day as Nevermind. Not exactly classic, but a big deal at the time, to me anyway!

... by A Tribe Called Quest also released at the same time - nice record for those who like their hip-hop a bit more laid back.

Blimey there's some good stuff came out that year. Screamadelica also came out the same day, and that was probably more game changing than Nevermind in some of the circles I moved in. The gig going festival buddies of mine though had been 'hip' to the Nirvana thing for a couple of years and were loving that.

My album of the year, and one of my favourites ever since has to be Foxbase Alpha. Overall the baggy/dance thing was where I was at.

http://en.wikipedia.org/wiki/1991_in_music#Albums_released

For about 6 months in 1991 I got really into Acid Jazz. I even went to see Galliano and Mother Earth in concert.

Singles
You got the Love - Source feat. Candi Stanton...my favourite dance tune
Little Fluffy Clouds - The Orb
Summertime - DJ Jazzy Jeff & The Fresh Prince....seriously, a wonderful summer tune.

Albums
Trompe Le Monde - Pixies...love this band and love this album
Blue Lines - Massive Attack...just sublime
God Fodder - Ned's Atomtic Dustbin...a teenage guilty pleasure
Electronic - Electronic (Sumner & Marr) - Get The Message and Getting Away with It (w/ Neil Tenant) were great singles

Surely.

Actually 1991 was quite a dreary year as I recall. The morning after '89 and '90, both great years in music.

Some good 'uns above though. Others:

My Bloody Valentine - Loveless
Massive Attack - Blue Lines
The Fall - Shift Work
and a little pearl by A House:

(I Am Afraid from the album "I Am The Greatest")

there was Bertie's Brochures by the Fatima Mansions

and an album that has echoed through the music I listen too far more than Nevermind: Spiderland by slint

Oh, and not forgetting My Bloody Valentine - Loveless. OK I assumed my cassette copy had cgone up the swanny first time I listened to it but still playing it now...

Out of Time - REM. First record of theirs I bought. A great year for albums, endorse many of those already mentioned.

by Metallica was constantly blasting out from the dorms on fraternity row, as I headed through Westwood to UCLA. That and (Momma Said) Knock You Out by LL Cool J (which must have been a single). And then grunge horrible grunge did take over...

by the KLF although intended to come out in 1989 only made it out in modified form in 1991. There was supposed to be a follow-up, The Black Room, in 1992. It was never officially released though rumours exist of a bootleg copy.

Mighty Like A Rose - Elvis Costello
Woodface - Crowded House
The already mentioned Out Of Time by REM
Achtung Baby - The U2

I bought the Smells Like Teen Spirit single but never invested in Nevermind.

Inspiral Carpets - The Beast Inside

My brother got me into them, mainly by having one of their "cow" mugs lying around, so I listened to their music and some of its really good. Underrated indie rock. A new genre? I would say "The Beast Inside" is their best album. A baggy highlight, with standouts being the title track, opener "Caravan", and the echoey "Niagara". Certainly worth a trip down memory lane for.

Also good that year:

Throwing Muses - The Real Ramona
Talk Talk - Laughing Stock
Morrissey - Kill Uncle
Pavement - Slanted & Enchanted
Queen - Innuendo

I did get into them much later though. Sadly I wasn't the most musical of five year olds.

I saw them that year at a Radio1 Roadshow in Tenby. Jakki Brambles was hosting and as it began to steadily rain she kept saying "And no ones going home" She was lying.
I'll get my coat. (Which I could have done with that day)

Queer

Damn, they were good!

A selective history:
Carter USM - 30 Something

Blur - Leisure

Levellers - Levelling The Land

Vic Reeves - I Will Cure You

Slint - Spiderland
Talk Talk - Laughing Stock
Slowdive - Just For A Day

As previously mentioned: the incomparable Foxbase Alpha and Blue Lines,

And then Peggy Suicide by the Cope, The Mix by Kraftwerk and Quality Street by World of Twist

Rumour and Sigh
Tom Petty: Into the Great Wide Open
American Music Club: Everclear

and most of the above ... naturally.

as previously mentioned Primal Scream - Screamadelica, My Bloody Valentine - Loveless, The Orb's Adventures Beyond The Ultraworld.
Also LFO's debut album 'Frequencies' and the first Orbital album.

I was mostly listening to:

and this extraordinary thing which I still haven't quite got my head around, beautiful music but wilfully distorted and warped...baffling brilliance:

as I was rather poor at the time.
I can only remember four that I still listen to;
Massive Attack - Blue Lines
Julian Cope - Peggy Suicide
Prince - Diamonds and pearls
and
Mylene Farmer - L'Autre...
I never bought Nirvanas' album, still haven't got it. It made me feel old and depressed at the time, probably for the same reasons it made younger people feel young and happy (or at least happy to be depressed...)

I bought The Wedding Present's Sea Monsters and The Wolfgang Press one in 1991, but curse my unhipness - Stars by Simply Red stood out then and still sounds magnificent now.

To regain my hipness I came across The Sun's Going To Shine On Me Soon by The Wendys again recently

Completely forgotten about Young Disciples - cheers Ted

Bellybutton. Jellyfish. Arguably the finest debut album ever.

Woodface. Crowded House showing just what the Finn brothers could do.

Girlfriend. Matthew Sweet. Genius.