Worn idler arm, worn pitman arm, broken sway bar links,
Mine did it because of a horrible alignment
Your car needs an alignment. Typically around $100 or less.
Alignment
go get 2 new tires and have the alignment checked on it
Bad mount on the steers, worn/loose/damaged steering components, axles out of alignment.
Could be a minor out of balance condition with one of the tires, or a minor alignment issue that is unnoticeable at lower speeds. Also the tires may not be rated for the speeds you are attempting and are distorting. Another possibility is a harmonic imbalance, the tread of the tires may create a noise that causes a wobble in the steering, the sound is always there but raises to a harmful pitch at a certain speed.
It is actually called a tie rod because it ties your steering controls to the rest of your suspension. A bad tie rod will cause uneven tire wear and probably some steering issues such a pulling in one direction (called alignment) and probably some shaking at moderate or high speeds. It costs less to have it replaced early before it can do sreious damage to the tires and the rest of your suspension.
If 4x4, replace steering dampner that is a bandaid, is not addressing the real problem. could be worn or bent steering parts, bad ujoints, out of alignment or bent or unbalenced wheel.
This depends on a few things: If your vibration is happening at high speeds, get your wheel balance/roundness checked if this is happening at all speeds, check your alignment/steering if this is happening when slowing down, chances are that you need new brakes
Bad CV joint? How about a bad steering box?
Have you checked the pressure in your tires of the left side of your vehicle? That could be what is pulling your vehicle to the left. You may also want to have your front end checked for alignment. You might can check for yourself by checking the tread on the inner-most part of your tires, that is if the alignment is not noticable on sight already. If that's the case then have your front end aligned.
A worn out power steering pump, or steering box.