As an instructor/entertainer (sorry, I simply hate to call myself a teacher), I usually have one or more courses where I explain/present (sorry, but I just don't like to refer to what I do as 'teach') English pronunciation.
One of the many things I discuss is the inevitable similarity between such pairs as 'mince/mints' and 'prince/prints'. You can differentiate one from the other, but they tend to sound very similar. In fact, some speakers (chiefly American speakers) find it difficult to distinguish them.
Just this morning I found a delightful clip to add to my presentation material:
If you happen to know anything like this (or indeed anything of linguistic interest), please let me know. Really, I am easily pleased.