Chevrolet has produced full sized pickup trucks under many nameplates and platforms. Almost all Chevrolet branded vehicles were also available under the GMC brand as well:
Chevrolet Advance Design 1947-March 1955
Chevrolet Task Force April 1955-59: There were actually two Chevy pickups in 1955. The First Series was a carryover, the new models were the Second Series.
Chevrolet C/K (1960–1998 in US, 99 in Canada)
Chevrolet Silverado (1999-current)
Chevrolet Avalanche (2001-2013)
Chevrolet has also sold or produced many compact/mid-size pickup trucks:
Chevrolet SSR 2003-2006
Chevrolet LUV 1972-81, made by Isuzu
Chevrolet S-10 1982-2004
Chevrolet Colorado 2004-12, 2015-current
Chevrolet has also produced pickup trucks based on passenger cars:
Chevrolet El Camino 1959-60, 1964-87
