Origami patterns I've developed (with links to other patterns). All pictures are of things I have folded with notes in a readme if it wasn't of my design. Octopus is probably the place to start with something simple. Shells is has some reasonably simple folds but few instructions. Shells and Spirals both have Python scripts to generate different forms. Spirals generate patterns from Tomoko Fuse's Spirals book.
If you don't know about curved folding, well, it is my favorite.
I recommend Curved Folding Origami Design by Jun Mitani and his website.
I also recommend Curved Origami: Unlocking the Secrets of Curved Folding in Easy Stepsby Ekaterina Lukasheva. Note that the LukashevaCurved is based on the information in her book about creating curved create tesselations.
If you don't know about Amanda Ghassaei's Origami Simulator, it is amusing and has neat crease and cut patterns in the examples.
I did some precreasing by hand. Then I wanted a laser cutter after talking to origami expert Robert Lang on our podcast. I ended up with a Cricut Maker at 1/10th the price. It isn't perfect for this but it is a lot more fun than doing it by hand.
(I don't know how to share projects in Cricut's Design Space but if you know and want the project, let me know and we can figure it out.)
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Tessalations for Everyone by Ilan Garibi. Tesselations are meditative and the results are very pretty. This book makes the imposssibly complicated a step-by-step process and gives the grounding to let you try out your own ideas.
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Spirals by Tomoko Fuse. The shells I've designed owe a lot to Fuse's spirals. The spirals directory is devoted to generating the patterns from her book. The FuseSpirals directory is based on the information in her book about creating ammonite shells and whirlpools.
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Origami Design Secrets by Robert Lang: A weighty tome with a wealth of detail. It took me a year to get through but was worth it. The text makes sense and makes it easier to look at origami directions to see the results (and how to make designs better).