Here are the mistakes underlined, followed by the corrected sentences:

1. **Underline:** She **wish** she could speak English well.
**Corrected:** She **wishes** she could speak English well.

2. **Underline:** I wish it didn't **rained** now.
**Corrected:** I wish it didn't **rain** now.

3. **Underline:** I wish I **am** a doctor to save people.
**Corrected:** I wish I **were** a doctor to save people.

4. **Underline:** I wish I **have** more time to look after my family.
**Corrected:** I wish I **had** more time to look after my family.

5. **Underline:** He wishes it didn't rain **yesterday**.
**Corrected:** He wishes it didn't rain **that day**.

6. **Underline:** I wish my father **gives** up smoking in the near future.
**Corrected:** I wish my father **would give** up smoking in the near future.

7. **Underline:** I wish I **studied** very well last year.
**Corrected:** I wish I **had studied** very well last year.

8. **Underline:** I wish you **will come** to my party next week.
**Corrected:** I wish you **would come** to my party next week.

9. **Underline:** I wish it **stops** raining now.
**Corrected:** I wish it **would stop** raining now.

10. **Underline:** I wish you **are** my sister.
**Corrected:** I wish you **were** my sister.

11. **Underline:** She **wishes** she is the most beautiful girl in the world.
**Corrected:** She **wishes** she **were** the most beautiful girl in the world.

12. **Underline:** I wish Miss Brown will come here and stay with us next week.
**Corrected:** I wish Miss Brown **would** come here and stay with us next week.

13. **Underline:** I wish I **am** at home with my family now.
**Corrected:** I wish I **were** at home with my family now.

14. **Underline:** I wish I could **been** there with you.
**Corrected:** I wish I could **have been** there with you.

15. **Underline:** She wish she could go home now.
**Corrected:** She **wishes** she could go home now.