Here's my list of my favorite nonslash (and by nonslash I mean no slash relationship between Snape and Harry but not limited to Snape/Remus and Draco/Harry)Snape and Harry fanfics because the good ones are kind of hard to come by -
Unfinished fic's -
The Painful Guardianship by Dina Snape mentors Harry
My Dad by Sever Us Snape adopts Harry
Child of Mine by Lina Inverse the Dramata Snape mentors Harry/ raises Harry after Harry has been de-aged
An Old Man's Meddling.... by Severitus Snape mentors Harry
In the Midst of the Night by Sea Chelle Snape mentors Harry/ raises baby Harry
Life's Blood, Soul's Essence by chicadoodle Snape mentors Harry
Peorth by Bleudiablo Snape adopts Harry only difference here is that Harry is a cute little animal
A Year Like None Other by aspeninthesunlight Snape adopts Harry
Finished or er... so I think
Faith by Dragongirl16 I haven't read this story for such a long time so I'm not sure just what exactly it is but I believe it is a Snape mentors Harry fanfic
Primary Care by Senjy Snape mentors Harry slash Remus/Snape and Draco/Harry
Mine by Gillian Middleton Snape father's Harry and comes to claim him as a child
Snape's Vocation Sequel to Mine
The Owl and the Puppydog Sequel to Snape's Vocation
The Absence of Unhappy Sequel to The Owl and the Puppydog
Solstice by samhaincat Snape mentors Harry
Somewhere I Belong by Shadowarwen Snape adopts Harry
Somewhere I Belong II Sequel to Somewhere I Belong
Somewhere I Belong III Sequel to Somewhere I Belong II
Snape's Invisible Friend by teacherbev Snape adopts Harry
Growing Up Snape Sequel to Snape's Invisible Friend
Growing Pains by SensiblyTainted Snape adopts Harry sort of slash Remus/Snape and Draco/Harry
Broken Mind, Fractured Soul by SensiblyTainted Snape mentors Harry
Kept Behind by LAXgirl Snape mentors Harry
Dark Influences sequel to Kept Behind
Unlocking Harry Potter by sarini Snape father's Harry slash Charlie/Harry
Finding the Key sequel to Unlocking Harry Potter
Closing the Door sequel to Finding the Key
and YAY! this is as far as I can go for now... well, what I've read so far too.