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.
If You Lose Me
If you lose me, others around you may lose me too. What am I?
Your temper.
Into the House Through the Keyhole
What always comes into the house through the keyhole?
The key.
Cut One Off And I Become Stronger
I have three letters. Cut one off and I become stronger. Cut two off and I become ten. What am I?
A fox. Removing the f leaves ox, a strong animal. Cutting off the fo leaves X, the roman numeral for 10.
Nearly A Victory, Quickly I Pass
Nearly a victory,
Quickly I pass,
A request of the chair,
I’m silver, not brass.
What am I?
Second. Second place is next to winning. Seconds, the measure of time, pass quickly. Seconding a motion is requested by the chair of the body in Parliament. And the second place finisher in many sporting events such as the Olympics is awarded the silver medal.
And as for why the unit of time is called a second, it goes back to the days of Ptolemy. A second of time is the second small part, or pars minuta secunda, of an hour. (Thanks to Tim J for researching it).