You are looking for either "rail to rail input" or "input common
mode range includes ground" input features. Anything
from the venerable LM339 to CMOS R-R op amps can do
it, but not all are set up that way.
Searching for things like
rail input "op amp" schematic
or
input common mode ground "op amp" schematic
ought to turn you up plenty of viable hits to study.