Listing authors who cite me
Microsoft Academic
Microsoft Academic does show such information: Click on a researcher profile, go to the tab Cited By, then look at the column (to the left of the screen) titled Top Authors. Here is an example for Christian Drosten:

If you have a profile at Microsoft Academic and claimed your publications, you can see a similar list regarding your own 'citers'.

CrossRef
An alternative approach would be the following: You could gather all the DOIs from the papers that cite you, loop through it to access CrossRef's API via https://api.crossref.org/works/{DOI}, and extract the respective author-field.