SLC -> Single-Level Cell
MLC -> Multi-Level Cell (now mostly means 2-level cell?)
TLC -> Triple-Level Cell
QLC -> Quad-Level Cell
It seems like a lot of the higher-level cell designs require a '3D' gate architecture, so you might come across that terminology in marketing materials.
Sources: https://en.wikipedia.org/wiki/Multi-level_cell and http://www.theregister.co.uk/2016/07/28/qlc_flash_primer/