What are the most popular bikes and patterns for writing them?

Question

Java

I am writing an article and a training manual for it for the university, in which I would like to describe the most popular (repeating) tasks in programming and patterns with which these tasks can be somehow solved. In the end, it should become something like a description of the application of those patterns, the knowledge of which will greatly help in real projects. I myself have practically no experience, especially the experience of using patterns. Could you help with a list of tasks for which you often have to write your bikes or use ready-made ones, and if it's not difficult, then write the name of the patterns that are applied in them.
So far, only writing procedures for reading and saving files of various formats using the "factory method" pattern has come to mind.
Something similar can be seen here, but I want more opinions and other people's experience.
Please don't suggest to read anything from theory, patterns are a dime a dozen, years more than GoF has been described.
I wrote here, hoping that they will share their opinion and experience with me.

Answer 1

GoF for sure. The rest is optional.