even, flat, level, smooth
rough, uneven
curved
firm, hard, solid
soft
slippery
calm, glassy, polished, reflective, shiny
the glassy surface of the lake

frozen
The ball rolled onto the frozen surface of the pond.

inner, interior, internal
the inner surface of a bone

exterior, external, outer
lower, upper
water
floor, ground, land, ocean, road, rock, sea, wall
kitchen, work, working
a cleaning product for all kitchen surfaces

come to, come up to, reach, rise to
hit
bring sth to
The captain brought the submarine to the surface.

coat, cover
break, penetrate
smooth
Smooth the surface with a spatula.

scratch, skim, touch (all figurative)
The investigation barely scratched the surface of the city's drug problem.

area
level
layer
the surface layer of the skin

temperature, tension
water
Surface water made driving conditions hazardous.

above the surface, on a/the surface, over the surface
A trail of flowers floated on the surface of the water.
The breeze created a slight ripple on the surface of the pond.
On the surface his words were funny, but I detected a lot of anger behind them. (figurative)

below the surface, beneath the surface, under the surface
The ring slowly sank beneath the surface of the mud pool.
She gives the impression of being rather conventional, but under the surface she is wildly eccentric. (figurative)

across the surface, along the surface
in the surface
Cracks began to appear in the surface of the earth.

the Earth's surface, the surface of the Earth
Visible light from the sun passes through the atmosphere to the Earth's surface.

Surface is used with these nouns as the subject:
anxiety, problem, report, submarine

Surface is used with these nouns as the object:
road