Are these correct as headlines in sections for planner page?
1. Task list
2. List of things to do
3. Tasks to be completed
4. Must Do
5. Must Accomplish
6. Would Like To Do
7. Would Like To Accomplish
8. Tasks to complete
9. Tasks to do
Do you know any other synonyms expect of 'things to do' or 'to do list'?

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They are all correct. I think 'to do list', 'tasks', 'items', 'bullet points' are good words to use. I don't think you need many synonyms. It's ok to use the most common words because it is a common activity - to use a planner. So in my opinion if it's simple and to the point, it's great because it supports the spacious and organized frame of mind needed when planning anything.