1. How often do you read the newspaper?

- Sometimes.
- I often read it.
- I read the newspaper from time to time.
- Three times a week.
- I never read it.
(Are the answers all acceptable? Do you have some more common answers?)

2. Don't be worried about that.
2-1. Don't worry about that.
2-2. Don't be concerned about that.
(Are the three the same?)

2 answers

All of the newspaper sentences are fine.
I read parts of the newspaper everyday.

All of the #2 sentences are the same.
If #1 is a survey question, you might want to be more specific in your alternatives:
Daily
5-6 times a week
2-4 times a week
weekly
less than weekly
never

"Sometimes," "Often" and "time to time" are very vague terms.

I hope this helps a little more. Thanks for asking.