My favorite Smiths album is "Meat is Murder". And no, I'm not even a vegetarian!
My favorite Solo album is
Your Arsenal
.
But with either of them, it is much easier to name the few tracks that I don't like than to name all of my favorites.

With The Smiths, The Queen is Dead. Solo, Your Arsenal. I think all of The Smiths' albums are better than Morrissey solo's best, but I still like a good amount of his solo work.

The smiths - Meat is Murder
Best Smiths Era Compilation Album - Louder Than Bombs
Morrissey - Your Arsenal/SouthPaw Grammar
Morrissey - Compilation - Bona Drag

I've changed my mind. his best solo album is viva hate. that's an awesome album

The Smiths- The Queen Is Dead, though I love Strangeways and Louder than Bombs.
Solo- Maybe You Are the Quarry. Nothing on there is as good as the best on Viva Hate (Every Day Is Like Sunday and Suedehead), but there's some real beep on Viva Hate too, in my opinion

The Smiths- The Queen is Dead, definitely, although Hatful of Hollow does have some pretty outstanding songs as well
Solo Morrissey- I love most, however I think I like Vauxhall and I best (Why Don't You Find out For Yourself is amazing)
Saying that, I actually have no full albums right now (just downloads-I know, tut-tut!) so I'm just going on what I've heard.
"I'm actually 40% papier mache"
-Morrissey

Meat is Murder and Vauxhall

That's almost impossible, but today I'd say:
The Smiths: The Queen is Dead
Solo Morrissey: Years of Refusal

I think Morrissey's best Smiths album was their last one Strange Ways Here We come. I also think Morrissey's best solo album is You Are The Quarry. The lyrics, the symbolism, the issues and the themes of the album is good. It is an excellent album from start to finish. You Are The Quarry is also I think Morrissey's most successful album of his career in terms of record sales.

I'm gonna go against popular opinion in saying 'Kill Uncle' is my favourite solo album.

smiths - hatful of hollow
solo- bona drag or ringleader, but i really like the 3 songs ive heard of his new album, squeezing my skull, thats how people grow up and all you need is me ( might be called summin else) lol
MOZZA RULES

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Ringleader
for me.

You don't have to be stupid to believe in God. But it helps.

"Hatful of Hollow" and "Viva Hate"

The Smiths -
Meat is2000 Murder
Moz - Hard to choose, but probably
Your Arsenal
http://www.bebo.com/Profile.jsp?MemberId=18855712

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I might have to agree with you about The Queen is Dead being the best Smiths album. Although I've read on Wikipedia that Morrissey and Marr consider Strangeways, Here We Come their best.
What we have here is a failure to give a beep

The Smiths-The Queen is Dead
Solo-Your Arsenal
Mind you it changes all the time depending on which Smiths/Morrissey era im currently enthralled in.