Is there a single word that is the opposite of "want" (i.e. "do not want")?

Solution 1:

Consider using dislike.

I dislike that broom.

I dislike sweeping the floor.

Solution 2:

The term eschew means

to keep away from (something harmful or disliked); shun; avoid; abstain from

However, it seems a bit more active than the obverse of want.

Solution 3:

Some of the responses are a bit too strong to be opposites of want. I voted for dislike, but I'll also suggest avoid.

1. To keep away from; to keep clear of; to endeavor not to meet; to shun; to abstain from.

In your examples "I avoid that object" and "I avoid doing that" seem to fit nicely as opposites to want.