This is a list of mountains on the Moon (with a scope including all named mons and montes, planetary science jargon terms roughly equivalent to 'isolated mountain'/'massif' and 'mountain range').
Caveats
This list is not comprehensive, as surveying of the Moon is a work in progress.
Heights are in meters; most peaks have not been surveyed with the precision of a single meter.
c.1990 — The Clementine topographic data use 1,737,400 meters as the baseline, and show a range of about 18,100 meters from lowest to highest point on the Moon.
This is not a list of the highest places on the Moon, meaning those farthest from the CoM. Rather, it is a list of peaks at various heights relative to the relevant datum. This is because the Moon has mass asymmetries: the highest point, located on the far side of the Moon, is approximately 6,500 meters higher than Mons Huygens (usually listed as the tallest mountain).
Gallery
the central peaks of the crater Copernicus consist of three isolated mountainous rises climbing as high as 1200 m above the crater floor