Things you can remember: the words to the Fresh Prince of Bel Air theme song. Things you can't remember: the periodic table of elements. Solution: reword the world's easiest rap with the things you want to remember, keeping the rhythm and emphasis. "Now HYdrogen helium LITHium beryllium ... " Suddenly you know your elements and have a new party trick to impress your friends (results may vary). Your life will be flip-turned upside down.
The Face is Familiar
Names are one of the most easily forgotten things and one of the most socially awkward to forget. Fortunately there is a technique to help: be a creeper. When you're introduced, repeat the person's name immediately, and ask if it has an unusual spelling. When they say, no, it's just spelled D-A-V-E like usual, repeat "Dave, mmm, right, Dave" to yourself, musingly. Take ownership of the name by introducing Dave to someone else, then use his name often as you speak to him, which is totally normal and not at all uncomfortable for everyone, Dave. At least you introduced Dave to someone else, so he has someone else to talk to about how creepy you are.
Deez Nuts
Boringly, the best thing for a sharp memory might be healthy living. Getting enough sleep, regular exercise and consuming the raw nut proteins and omega-3s of a Mediterranean diet has been shown to improve memory. The hard part is remembering all of this at 3am, mid-Netflix binge, with your hand so covered in Twisties dust you look part-Simpson.
Ctrl-Alt-Delete
If your memories are actually the problem, scientists are getting closer to being able to erase the ones that bother you. They're already doing it in mice: targeting fear neurons to wipe out specific memories without affecting others, although how they know the mice haven't suddenly forgotten the lyrics to the Fresh Prince of Bel Air is not stated. This research will either save us all from our traumas or breed a race of fearless mice that will kill us all to eat our ham lamps. Then we'll wish we'd all paid more attention to Cats.