LESOTHO (“the solo” anagram)
God in myth has an ache and lisps. (4)
THOR
+++++
If you avoid going south, you can find a plain in New York inroads. (8)
The answer appears to be ORDINARY, but can’t get the clue to fit (NY+inroads-S)
Ordinary = plain. Carry on.
I carry obituaries around of people killed by power tools.(5)
RYOBI (hidden word)
I used to operate a Ryobi printing press.
A sonic blur can be reconfigured into a visual aid. (10)
BINOCULARS (anagram)
+++++
My horse drinks one pilsner on Wednesday.(8)
New clue:
Wednesday’s horse gets wrecked on one pilsner.(8)
SLEIPNIR (Odin’s [-> Wotan → mythological namesake of Wednesday] eight-legged horse) Anagram of PILSNER + I
+++++
Kurt Cobain’s in Paradise (7)
NIRVANA
+++++
Are Japanese graphic novels a scrambled word puzzle? (7)
ANAGRAM (anagram of R+manga+A)
++++++
Woolly mammoth was in a nasty mood and I don’t know why.(8)
MASTADON (nasty mood -y)
+++++
Dunkin’ makes my hound stop (5,4)
Spelling nitpick: mastodon fits the anagram better 
.
DONUT SHOP (hound stop*)
+++++
You call that music? It sounds like something I’d shout at my cat! (4)
Surely you can’t be invoking Life Is Life (na na na na na) OPUS (Oh, Pus!)?! Although the “You call that music” part makes me think you just might be!
Off OPUS
Floyd’s ditty heard in the bayous and the marshes (2,3,4)
US AND THEM (hidden phrase)
+++++
Famous restaurateur took a nap that gave him a strange dream about a necklace of flowers. (6)
Your answer is correct, but I was simply aiming for opus = a musical work.
Emeril (REM + lei)
+++++
Virtual female companion is sick and against the law (7)
ILLEGAL (ill+E+gal)
+++++
A side effect of being both large and small is great generosity.(8)
This may be a stretch, but I’ll hazard LARGESSE = LARGE + S (for small) + SE (for side effect)