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Sure it exists. Have a services that is free to use but includes charges for one particular highly desirable function. One example is a game with in-app purchasing of new levels, character wardrobe, etc.

yes, you find this quite a bit in e-commerce but agree on SaaS

Dropbox is probably the best example for an app that scaled charging consumers

evernote, dropbox, rescuetime, pandora, spotify all beg to differ

Dropbox, Flickr, Apple, etc-- all sell to consumers with a high ARPU. Also, cell providers, insurance companies, car companies, etc.

Good rule of thumb-- anyone who advertises heavily to consumers has a high ARPU.