What is the proper way to list items after using a semi colon?

Do not use any punctuation to introduce a sentence-style list that follows grammatically from Words such as "including." Here is an example:

There were several items on the grocery list, including ham, beans, onions, carrots, and celery.

However, if you're talking about a bulleted list, various style guides give you your choice of punctuation from none to periods, commas, or semicolons.

This list includes several styles of punctuation for bulleted lists:

* Each bullet point ends without punctuation.

* Each bullet point ends with a period (note that this is common if some or all entries are complete sentences).

* All bullet points end with a comma or a semicolon except for the final entry, which ends with a period.

* In the previous style, the second-to-last entry includes the Word "and" (or "or") after the semicolon.