I know that Nikon F mount is platform that not much lenses can be adapted to. Is there any type of lenses that can be adapted to Nikon F mount(modern DSLR or old film) without any lens modifications, using just adapter and have fully functional lens with infinity focus.
As xiota mentioned, the answer is no, if you're talking 35mm SLRs lenses. The only vintage 35mm SLR mount that's deeper than Nikon F is Leica R, and only by 0.5mm, so there's no simple ring adapter that's going to work and maintain infinity focus.
You could use a simple ring adapter for medium format SLR lenses, say, Hasselblad V-mount or Bronica-S, but those will be substantially more expensive, bigger, and heavier than 35mm lenses, and they'll be coming in longer focal lengths that won't do wide angle, particularly if you're shooting with a DX crop body.
But if you're willing to expand your definition of "adapter" and wobble a little on "without lens modifications", Leitax makes lens mount replacement kits (no machine shop required) to adapt certain Leica R, Contax/Yashica, and Olympus OM lenses to Nikon F. Keep in mind, not all lenses in those mounts can be adapted, and lenses in those three mounts tend to go for premiums among vintage lens users ('cause Leica and Zeiss are always pricey, and Zuiko OM lenses are compact and very high quality).
Is there any type of lenses that can be adapted to Nikon F mount(modern DSLR or old film) without any lens modifications, using just adapter and have fully functional lens with infinity focus.
There are no other DSLR mounts whose lenses will retain infinity focus without modification when adapted to Nikon F. There are some universal mounts that can be used (T-mount, adaptall, etc). Several medium format mounts are also long enough.
You can search your favorite auction site to see if anyone has made any adapters for the mounts you're interested in using.
Note: While Leica R is 0.5mm longer than Nikon F, that isn't enough space to fit an adapter.
See Wikipedia: Flange Focal Distance.