1. She asked me if I enjoyed her dinner. (Present Simple -> Past Simple)
2. He said he would be late that evening. (Present Simple -> Past Simple, future -> would + verb)
3. Our children said they didn’t like school. (Present Simple -> Past Simple, negation -> didn’t + verb)
4. Liz says she has seen the film. (Present Simple -> Present Perfect)
5. She said that she would be 20 years old the following Friday. (Present Simple -> Future in the past, future -> would + verb)
6. They said that they had never been to Britain before. (Present Simple -> Past Simple, past -> had + verb)
7. He boasted that he could play different musical instruments. (Present Simple -> Past Simple, ability -> could + verb)
8. Thomas told his wife that he had lost his umbrella. (Present Simple -> Past Simple)