Canon SL2 has a Canon EF/EF-S lens mount and currently there are 333 native lenses available for this mount.
The latest released lenses that are compatible with the SL2 are the Carl Zeiss Makro-Planar T2/50, the Tokina 35mm f2.8 Macro DX and the Canon 50mm f2.5 Macro.
Canon SL2 doesn't have a sensor based image stabilization system but 113 of these lenses already comes with optical image stabilization.
Since Canon SL2 has a APS-C sensor, it has a focal length multiplier of 1.6x so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on SL2.
You may also also be interested in these:
Canon SL2 Lenses with Image Stabilization
Canon SL2 Lenses with Weather Sealings