Differences of Opinion by Calanthe Borrible
I thought this was a wonderful piece of Minerva-as-professor characterisation. There's no ship (well, no Minerva ship anyway!) and the plot is a little confusing at first but it's very imaginative and, IMO, really builds upon the Minerva we see in in canon.
Sugar Quill Manoveurs by Alchemine
I think this is one of the Minerva 'classics' but I'll rec it anyway in case anyone has been unlucky enough to miss it. Again there's no Minerva ship, but this is an original and intriguing interpretation set in the MWPP era. 'Crowning Glory' is another of my favourite Minerva fics by Alchemine.
Warmth of Crimson, Chill of Emerald by Aldalindil
Another 'classic'. This is a Minerva-when-she-was-young fic - sorry if that's not entirely appropriate for this community but it's such an amazing fic I couldn't resist! This is set when Minerva was at school and explores the relationship between Minerva and the young Tom Riddle. It's part of a web of connected fics, if anyone's interested in reading more.
Angel Tempted by Dicere
An intriguing one-shot, recommended to me by tsunamisurfer. Definitely well worth a read.
Things Can Be Transformed by Luminous Marble
Another one-shot and equally readable.
And the Saints Kept Marching On by Saphy
A look at what the future might have held for Remus Lupin had Umbridge got her way, through Minerva's eyes. Disturbing, fascinating and thought provoking!
A Compromising Situation by Juno
Minerva attends an Order meeting, Remus gets a treat and Hermione gets an unexpected shock! Light hearted and enjoyable, set during OOTP.