Here are the corrections for each of the sentences provided:

1. **Mistake:** "interesting" should be "interest."
- **Correction:** My best friend and I share the same interest in arts.

2. **Mistake:** "different of" should be "different from."
- **Correction:** Peter's taste in music is totally different from his parents.

3. **Mistake:** "do" should be "did."
- **Correction:** The actors and actresses really enjoyed the performance and so did the audience.

4. **Mistake:** "neither" should be "either."
- **Correction:** I didn’t realize that we went the wrong way and my companion didn’t, either.

5. **Mistake:** "of the same quality with" should be "of the same quality as."
- **Correction:** This year's exhibition is of the same quality as last year.