It has been a while since Samsung released a mini flagship and those older S minis were flagships in name only. Now unsubstantiated rumors suggest that a Galaxy S8 mini is in the works and will debut in South Korea at some point in the future. The mini will allegedly have a 5.3" screen but will have the feel of a 4.7" screen due to the extra wide aspect ratio (18.5:9). Suggested specs for the S8 mini include a Snapdragon 821 (not 835) with 4GB of RAM and 32GB storage. And it should have an iris reader, a fairly high-end feature. This is closer to flagship status than the S5 mini...
Source: http://www.gsmarena.com/rumors_of_samsung_galaxy_s8_mini_point_to_53_screen_snapdragon_821_chipset-news-25973.php