The little mouse under the pedal
Usually the accessory drive belt is faulty
The car may need new brakes or tires because they might be wearing down.
Squeak in tires (when turning in particular) could mean low tire pressure, or bald tires.
Some manufactures use a wear indicator that causes a squealing sound when the pads need to be replaced.
What causes the a squeak in my showtime rotisserie
More info: '97 Honda, the right front tire was recently patched by a tire shop. Squeak occurs when the car bounces on bumps, holes, rough road.
Never heard a shock absorber squeak. Be sure it is mounted correctly.
ball joints
Loose alignment is the most likely culprit. It could also be the servo if your car has got one.
Generally new pads will contain a layer of dust which causes the initial squealing. The squeal should go away after a bit if driving.
I think it is because when you brake and turn at the same time it makes friction and that's what makes the tires squeak.