I have had a real fascination for Ancient Japan and the samurai. From movies to video games it’s always fascinated me. I’ve had a real tough time learning about it though. Whenever I try to use the internet to find real historical information about them, I typically come across anime. I think it has to do with me residing in the US.
Is there any recommended books, websites, or documentaries to learn more about these times?
I just took a look through the general recommended book list for Japan (you can find it in the sidebar but here's a cheeky link), and of all of them the ones tagged with Entry-Level Overview are actually quite decent.
In particular, Japan to 1600 would likely be your best first step if you're looking for a book.
On the other hand, a book is a pretty large investment to make for someone who's just dipping their toes into the water, so on the exact opposite end of the spectrum, videos like history of japan by bill wurtz are great* as a stepping stone to get people to start asking questions.
The asterisk isn't without good reason though, as any short video (and the above falls under this umbrella) will be over-simplified and lacking almost all nuance and detail, but I would carefully suggest to keep that in mind and after watching such a video, researching the things you find are interesting and asking more questions here and elsewhere. More in-depth discussion with valuable points of view can be found in this thread
That little tangent aside, what might be a nice middle ground are the various answers in the subreddit's FAQ -- https://reddit.com/r/AskHistorians/wiki/asia#wiki_japan -- where there exists a good helping of Sengoku and Edo period related questions. And again, all those flaired users and even those who aren't would be more than happy to help answer your followup questions if you have any.