Lily and James left Harry a muggle trust fund with a muggleborn trustee. This will impact Harry's childhood, leading to a more grounded Harry going to Hogwarts. Quickly runs through Pre-Hogwarts in the first few of chapters (gets the letter in chp 3). Anything recognizable belongs to JKR.
Lily and James leave Harry a muggle trust fund along with a muggleborn trustee. This has a large (hopefully positive) impact on Harry's life.
Harry goes back in time due to a quirk of being the owner of the invisibility cloak (reincarnation deal). Time-travel, professor Harry with new (OC) identity, child Tom Riddle. No bashing involved. HP and canon belong to JK Rowling. Complete. This is less of a show and more of a tell story i.e. Dialogue gets really scarce at about ch. 13 and lots of time jumps.
AU. Remus starts to question Sirius's guilt when Harry is 7 years old. No romance planned, just about how Harry, Sirius and Remus meet up again after years apart. JK Rowling owns the universe and all canon content, I'm only dabbling in her work. Involves: Travel to other magical community, nullified prophecy, no HG,RW,GW,etc. Complete.