I need to delete my Apple ID

1. Log into Apple's Data and Privacy website with your Apple ID. You may be required to perform two-factor authentication to continue. 
2. Under the heading Delete your account, click the link to Request to delete your account.
3. On the new page, select a reason for deletion from the dropdown box, then click Continue. 
4. After going through a checklist of things to bear in mind when deleting the account, click Continue. 
5. Review the Deletion Terms & Conditions, tick the checkbox, and click Continue. 
6. Tell Apple how to receive status updates on the account's deletion, then click Continue. This can include a different Apple ID, an email address, or a phone number. 
7. Make a record of the access code Apple provides, and click Continue. 
8. Enter the access code to confirm what you noted down was correct, and click Continue. 
9. Check the final reminders of the effects of account deletion, then click Delete account. 
10. On the confirmation screen, click Sign out.

Warning: Take complete cloud backup data, as deletion of apple account is irreversible process

All purchases made using an Apple ID are tied to the ID. Delete the ID and you will need to download them using your new ID. There have been posts by people who have contacted Apple Support and they were told that if you delete an ID associated with an email address, you can never reuse the email address for an Apple ID.  Make sure that you sign out of all your devices to avoid issues with apps that use your Apple ID account or iCloud. After your account is deleted, you can't sign out of iCloud or turn off Find My iPhone Activation Lock on your devices. If you forget to sign out, you might not be able to use your device when your account is deleted.

How to delete your Apple ID account.   *  

Apple ID – How to Delete.  -

Delete Apple ID (new).   -

What to do after you change your Apple ID or password - Apple Support   -

Call AppleCare but they normally do not delete them, you just stop using it.