I don't think that counts as a mini-game quite yet... It has to actually be a fun activity to be a minigame.
Both Puzzle Pirates and A Tale In The Desert have decent blacksmithing mini-games, lemme see if youtube has videos of them. In most cases you will have to also find a non-video guide if you need to know the basics of how the game works.
(this video is bad but it was the only relevant video)
This is a different atitd minigame, alloy-making, but this kind of activity could be adopted for a blacksmithing activity
Similarly Puzzle Pirates Shipwright minigame could be adapted to a blacksmithing theme.