In the United States, the Star Wars The Black Series toy line debuted officially on August 1, 2013. This series was the continuation of the much loved The Vintage Collection, which was aimed entirely at collectors. The figures released in this line featured a higher point of articulation and more detailed sculpts than the Saga Legends line, which was on store shelves at the same time.
The first few shipments of wave 1 suffered packaging issues where the bubbles weren't secured well onto their cardbacks, which caused them to fall off when the figures were taken in hands. An issue Hasbro fixed quickly thereafter.
Here is a look at the Star Wars The Black Series basic figure assortment.
The first six figures in re-designed packaging (with Tie Fighter Pilot on the cardback) were found on store shelves in the middle of November 2014. Even though the look of the packaging changed and the numbering started at #01 again, the name The Black Series stayed. Here is a look at Star Wars figures from Star Wars The Black Series basic assortment.
Here is a list of Star Wars The Black Series 3 3/4 inch exclusives from 2014/2015.
Here is a list of 3 3/4 inch Star Wars The Black Series action figures. In the United States this collector focused series was exclusively available at Walmart.
Here is a look at The Black Series 3 3/4" action figures which were available outside of Walmart.