Sure, I'll help you out by identifying the correct answers and explaining the rules applied:

1. Living in this small town is ( **more peaceful** / peaceful more) than I expected.
- "More peaceful" is the comparative form of "peaceful".

2. Nowadays people are ( **more anxious** / anxious more) about pollution than before.
- "More anxious" is the comparative form of "anxious".

3. Today you look ( **happier** / more happy) than usual.
- "Happier" is the correct comparative form of "happy".

4. This year I will move to a ( **bigger** / biggest) city.
- "Bigger" is the comparative form of "big".

5. This experience is ( **more exciting** / most exciting) than I expected.
- "More exciting" is the comparative form of "exciting".

6. Who is ( **more intelligent** / most intelligent) between two of them.
- "More intelligent" is used when comparing two things.

7. This song is ( **catcher** / more catchy) than that song.
- "More catchy" is the comparative form of "catchy".

8. The new sofa is (costlier/ **more costly** ) than the old one.
- "More costly" is the correct form, though "costlier" can be used, it's less common.

9. Our family will move to a (**more comfortable** / more comfortable than) place next year.
- The phrase "more comfortable than" would need an object to compare with (e.g., more comfortable than the previous place). Here "more comfortable" is the correct fit.

10. I hope you will get (best/ **better** ) the next time I see you.
- "Better" is the comparative form of "good" or "well".

11. James has (many/ **more** ) books than Paul.
- "More" is the comparative form of "many".

12. She is ( **more independent** / most independent) than the last time I saw her.
- "More independent" is the comparative form and fits here.

13. Today my sister (is **quieter** / more quiet) than usual.
- "Quieter" is the comparative form of "quiet".

14. Jane is( **prettier** / more pretty) than Ann.
- "Prettier" is the comparative form of "pretty".

15. The weather is ( **hotter** / hottest) than yesterday.
- "Hotter" is the comparative form of "hot".

I hope this helps!