I put one of the simmons 4x32 .22mag fixed power scopes on my Henry. Been very impressed, very clear picture (far better than the 2-7x33 vortex crossfire II I also own). For under $100 it can’t be beat. Will likely end up with another to put on my 10/22 back packer eventually. If you need more magnification the 4x. I absolutely love my Bushnell prime 4-12x40 scope. Side parallax adjustment great clearity (can clearly see my hits on paper at 100yards and multiple exposed elevation turret options for different calibers or a even a capped option as well. Great scope for $300.
Additionally the bushnell banner II scopes are really nice budget options but there a bit bulkier. I have a 4-12 on my savage A22. And it’s been great it’s just bulky and heavy so not my favorite