Gets Rid of Bad Ones
Gets rid of bad ones,
Short and tall,
Tightens when used
One size fits all.
A noose.
Doesn’t Fly Even With Wings
I have four wings but cannot fly,
I’ve never laughed nor will ever cry,
As much as I’d love to leave the ground,
I toil away with nary a sound.
What am I?

A windmill. The typical windmill, like the ones Don Quixote chased, have four vanes or sails. You might even say they look like wings. Windmills don’t have emotions, so they can’t laugh or cry. And since they don’t have actual wings, windmills don’t get off the ground. A well-oiled little bugger won’t make a peep.
Voiceless It Cries
Voiceless it cries, wingless flutters, toothless bites, mouth-less mutters. What is it?
The wind.
I Am Both Safe and Secure
As a whole, I am both safe and secure.
Behead me, I become a place of meeting.
Behead me again, I am the partner of ready.
Restore me, I become the domain of beasts.
Stable. A table is a place of meeting. Able and ready is a common phrase, and a stable is where beasts reside (beasts of burden, not beasts like the one in Beauty and the Beast who lived in a glorious castle but the west wing was forbidden to enter until Belle…I’ve said too much!).
Goes With a Car
What goes with a car, comes with a car, is of no use to a car, but the car can’t move without it?
Noise. The engine is usually the main culprit, but even electric cars make some noise from the tires on the road.
Until I Am Measured
Until I am measured
I am not known,
Yet how you miss me
When I have flown.
Time.
Tongue Can’t Taste, Throat Can’t Swallow
What has a tongue that can’t taste, a throat that can’t swallow, eyes that can’t see and a soul that will never die?
A shoe. It has a tongue, a throat, eyes (or eyelets) and a sole. I used soul here or else it would have given the answer away, but this riddle works best when told rather than read. And as the joke goes, old shoes never die, they just lose their sole.