bicycle, car, etc.
spare (BrE)
front
back, rear
nearside, offside (both BrE)
alloy

change, replace
A tyre/tire blew and we had to change the wheel.

go around, go round (esp. BrE), spin, turn
The wheels were still going around.
The political wheel had turned full circle, and he was back in power. (figurative)

skid, slide, slip
He braked suddenly, causing the front wheels to skid.

come off, fall off
lock (esp. BrE)
She braked too hard and the wheels locked.

arch, base, bearings, hub, nut (BrE), rim, trim (BrE), well (esp. AmE)
clamp (BrE)

on wheels
A child was pulling along a little dog on wheels.

under the wheels
She fell under the wheels of a bus.

grip, hold
turn
Turn the steering wheel hard to the right.

grab, take
He grabbed the steering wheel from her to prevent the car going off the road.
I drove the first 200 miles and then Steve took the wheel.

lose control of, take control of

lock

at the wheel
The bus set off again with a fresh driver at the wheel.

behind the wheel
I saw the car drive past, but didn't recognize the woman behind the wheel.
I spend a lot of time behind the wheel (= driving).

keep your hands on the steering wheel, put your hands on the steering wheel
take your hands off the steering wheel
Roy took his hands off the steering wheel.