Types of maps in Interpretable Machine Learning
Difference between saliency and heat maps - https://www.reddit.com/r/EyeTracking/comments/hhy2u5/what_is_the_difference_between_saliency_maps_and/

Activation maps - https://computersciencewiki.org/index.php/Feature_maps_(Activation_maps)


These two links should answer your question!
Regarding types of maps, they could be many but activation maps are the most used. People can create various maps so i will not be stressing on the question. I am no expert but I have written one paper on iml. Smoothed Score-CAM. Do look into it :)