I've found razors and shaving in general to be a waste of time, and not as efficient as it could be. I quit shaving with a razor in 2004, when I was discharged from the Army. I have used a beard trimmer since then. They are around $20, and last several years before dying. I shave with all the guards off, and it leaves very short stubble, plenty good enough.
Other things that are manufactured needs, or I haven't used in years:
toilet paper(started using a water bottle bidet during my survival school, it cleans better, and water is free)
Shampoo(your hair stays pretty clean naturally, I have hair halfway down my back, and I haven't used shampoo in 6 years) Also, I like long hair better than short, short hair requires a lot more maintenance, I tie my hair in a ponytail and snip off 4 inches or so a year, free yearly haircuts that take 3 minutes, can't beat that. Also, you can't do anything with short hair, I can wear mine in a braid, bun, or ponytail. It's warmer in winter, cooler in summer, as long as it's tied back, it's hotter down. Had my head shaved years ago when I did construction, and hot is hot, hair didn't make a difference.
Nail clippers(scissors work better and last forever, don't break, are multipurpose)
Toothpaste or mouthwash(toothbrush and floss is all you need)
My entire list of hygiene items that has worked for years is a wide tooth comb and some hair ties, toothbrush and floss, small scissors, beard trimmer, African black soap(costlier, but much better for your skin, and it's all natural)
I FIREd at 36, live on 13k a year, comfortably, all expenses.