Here are the correct answers along with explanations:

11. We **do** most of our grocery shopping at large supermarkets.
- **Explanation**: "Do" is the correct present simple verb form for the subject "we."

12. The sale on all video equipment **started** on Monday next week.
- **Explanation**: "Started" is in the past simple, indicating that the sale began on a specific date.

13. The KFC store near my home **is** open between 6 a.m. and 11 p.m. throughout the week.
- **Explanation**: "Is" is present simple, indicating the current state of the store's operational hours.

14. At 10 o'clock tomorrow, the new bookshop in the corner **opens**.
- **Explanation**: "Opens" is the correct form for the future scheduled event.

15. The flight to Hanoi **will take** in five minutes.
- **Explanation**: "Will take" indicates a future event that is about to happen.

16. A strong earthquake caused a lot of **damage** to eastern Japan last week.
- **Explanation**: "Damage" is the correct noun form to refer to the destruction caused.

So the final answers are:
11. A
12. A
13. B
14. A
15. A
16. D