Semicolons at the end of list items
Solution 1:
As others have said, it's a matter of stylistic choice. The semicolon style is very formal.
Personally, if I was using the semicolon style, I'd go all the way and put an italicised "and" after the penultimate item and a period after the last item, like this:
The items on today's agenda are:
- item 1;
- item 2; and
- item 3.
The idea behind this style is that if you removed the bullets and wrote it all on one line, the sentence would still be grammatically and orthographically correct.
Solution 2:
These days it's a matter of style. In my news room, if the list comprises items that are sentence fragments, each item requires a semicolon except the last one, which is terminated with a full stop. If the items are full sentences, each is treated as such - leading capital and trailing full stop.
This is a little old-style, and some style guides do away with semicolons in sentence-fragment lists.
In drafting our newspaper's style guide, I chose a list style that suited the tone of the content we produce. The main thing is to be consistent.
Solution 3:
In my experience, commas are the punctuation that I have observed, if any, and I have never seen any usage of semi-colon, not that I remember.
Here, I'll explain my observed usage of commas, in hope it helps. Commas mostly correspond to its use in a normal sentence. Bullets merely break the sentence into several distinct lines. E.g.
The things that we use most commonly are:
- bats,
- balls, and
- wickets.
Here, the list can be written as a single sentence.
The things that we use most commonly are: bats, balls, and wickets.
Thus, logically we can extend commas to semi-colons. But it might be more preferable in lists with long phrases as bullets. E.g.
I have visited many and many places throughout the world:
- Sweden, Norway and Iceland in the Europe;
- every single country of the Americas;
- also, China, Vietnam, Thailand and some more neighbouring countries in the far east.
Solution 4:
In a numbered vertical list that completes a sentence begun in an introductory element and that consist of phrases or sentences with internal punctuation, semicolon may be used between the items, and a period should follow the final item. [...] If bullets were used instead of numbers ... the punctuation remain the same. — Chicago Manual of Style, Section 6.125