The story
History: facts, each with its source
The N55 replaced the N54's two turbos with one twin-scroll turbo and added Valvetronic. Wikipedia lists it in the E90 335i from 2010 and the F30 335i from 2011, and says the B58 began replacing it in 2015.1
BMW Tuning calls the N55 a fairly reliable engine, with none of its common problems necessarily major.2