Hi there, I totally understand your quest for specific anime! On MyAnimeList, you can indeed make detailed searches. To filter all anime post-2015 within the action/magic category with a ranking higher than 7, here's what you can do:
Go to the 'Anime' section on MyAnimeList.
Click on the 'Advanced Search' option.
Under 'Anime Search', select the 'Genre' as 'Action' and 'Magic'.
In the 'Score' section, choose 'Greater Than' and input '7'.
Use the 'Aired' section to specify the time frame, setting it to '2015' and onwards.
This should help you find anime that match your criteria. Hope you discover some fantastic series!