After taking polyjuice potion, he sees with Goyle's (unaided) vision. His glasses "cloud" his eyes, suggesting that his vision (with glasses) must be at least 4-5 points off 20:20. Anything less and his vision would simply be distorted rather than actually blurry:
Then he realised that his glasses were clouding his eyes, because
Goyle obviously didn’t need them - HP: CoS
He can't see well enough to distinguish that what he's looking at is a large dog, but he can see well enough to tell that it's an animal of some kind:
Harry set down his goblet and was about to turn back to his bed when
something caught his eye. An animal of some kind was prowling across
the silvery lawn. - HP: POA
He can distinguish his location and make out his friends easily from across the room. If he squints, he can bring his vision to something approaching normality:
Everything was slightly blurred. Somebody had removed his glasses. He
was lying in the dark hospital wing. At the very end of the ward, he
could make out Madam Pomfrey with her back to him, bending over a bed.
Harry squinted. Ron’s red hair was visible beneath Madam Pomfrey’s
arm - HP: PoA
Familiar people have "fuzzy outlines", again, suggestive of moderate myopia
He could see the fuzzy outlines of Mrs Weasley and Bill close by. Mrs
Weasley was on her feet. ‘That’s Fudge’s voice,’ she whispered. ‘And
that’s Minerva McGonagall’s, isn’t it? But what are they arguing
about?’ - HP: GoF
Room is blurry
Harry emerged from behind his towel; the changing room was blurred
because he was not wearing his glasses, but he could still tell that
everyone’s face was turned towards him. - HP:OotP
He can't distinguish individual firework sparks
He got into bed, yawning. With his glasses off, the occasional
firework passing the window had become blurred, looking like sparkling
clouds, beautiful and mysterious against the black sky. - HP: OotP