Below are the writing contest listing sites I used to create my own events lists. I would recommend them all.
Winning Writers. Expressly does free contests. You have to make an account with an email, but they don’t spam you or anything. This is my #1 favorite place to find contests.
Christopher Fielden. Includes entry-fee contests, but you can search your genre easily using Control-F. Christopher does an awesome job and updates every month. Please note the sidebar, which categorizes the type of writing: novel, short story, poem, etc.
Almond Press. Comprehensive and easy to read.
Poets and Writers. You can select “free entry” from the drop-down. There are a lot of contests here for books published in “the previous calendar year” and for translations, but hiding among those, you’ll find great contest listings too.
Freelance Writing. It’s a bit clunky to navigate, so I usually do it by “Ascending” deadlines. Not all the contests that list no entry fee end up being free. However, there are a lot of contests to choose from.
Other useful resources: