Since I made some Naruto suggestions, I figured I'd go and make some HP suggesions as well. Again, it's been years since I've posted to this thread and I haven't go through all of the posts to exactly determine what has and has not been recommended already. Regardless, these are all fics I enjoy and hope you will too.
A MODern Man by
dogbertcarroll
Summary: Harry takes advice he shouldn't, to do something he really should have known better than to try. Still, all's well that ends well, right?
Review: dogbertcarroll really out does himself with this fic. This fic is bound to make you smile, if not outright laugh. This fic sees a MoD!Harry hopping realities and takes the place of his recently deceased A/U self. Functionally a Harry/Harem fic, though primarily, so far, Harry/Ginny, though there is a twist. I'll not spoil it for you. In any case, this is a Harry enjoying life with a family he never got to have in canon, while being a better friend to Hermione, being a friendly rival to Draco, and not having to deal with the pressures of being The Boy Who Lived. Of course, while Neville is the ones destined to take on Voldemort, Harry can't be completely uninvolved.
The Stag and the Flower by
ReluctantSidekick
Summary: Harry is dumped, Fleur is neglected. The two decide to leave England for a holiday together. What comes from their decision will change their lives forever.
Review: This is a much more serious fic than the above work. Being a huge Harry/Fleur fan, I'll admit my opinion of this fic is more than a little biased. Still, I love this fic. Starts with canon pairings, moderately paced developing relationship between Harry and Fleur. They don't just jump into bed at the first moment, there are some conflicting feelings and not everyone universally approves.
Heroes Assemble! by
Stargon1
Summary: After five years of travelling the world, Harry Potter has landed in New York. He figures that there's no better place than the City That Never Sleeps to settle in a forge a new life. If only the heroes, villains, aliends and spies had received the same message. Begins before The Avengers movie and continues through the MCU. Encompasses MCU movies & TV and some others along the way.
Review: Obviously a Harry Potter/MCU Crossover. This fic, spanning 128 chapters, is complete. It covers many events from The Avengers all the way to Avengers: Infinity War. Of course, because of when certain parts of this was written, the Spider-man in this fic is actually the Andrew Garfield one, rather than the Tom Holland one. Still, it does a good job fitting the Harry Potter universe with The Avengers, Agents of SHIELD, The Amazing Spider-Man and even the most recent Fantastic Four movie into one solid continuity. He even pulls in characters from the greater Marvel Universe.