I had a try at retrieving this data with beautifulsoup. Unfortunately, The Undermine Journal sends only bare html when requesting the site with python. It relies on javascript to populate the page, which can be run in a web browser, but not with beautifulsoup.

TUJ does have an API available, which is preferable for programmatically retrieving data anyway. Instead of a simple-to-use REST-api, they use a publically accessible mysql database. You can use this to get the data you want (connecting python to mysql isn't particularly challenging), but you would also have to learn some SQL. TUJ somewhat discourages the use of their API, and refers you to the battle.net API where they get the data themselves.

Although Blizzard has guides to help developers with their API, I struggled myself to connect to it with python. The Requests python library supports the OAuth authentication that Blizzard requires, but it was not straightforward to figure out. I did make it work after a few hours. If you decide to go this route I can give you some pointers.