Is this regular Guyver or Guyver Gigantic?
Only familiar with manga/anime so...
Regular Guyver:
1. Spite. There's nothing Spider-man can really do to him
2. Again, spite. Cage should be a good deal stronger, but there's nothing he can do against the high frequency blades, mega smasher, etc.
3. Cyclops has comparable blasting power to the mega smasher, but considering Guyver's far superior speed and reflexes, Cyclops will be killed immediately. As for Wolverine, Guyver has a comparable if not better healing factor and also has him beat in every other area. Guyver may not be able to kill him, but he can leave Wolverine as nothing more than a smoking skeleton, giving Guyver the win.
4. This one is interesting. If Grey Hulk gets amped enough he could probably just tear Guyver apart, which should put Guyver out of commission long enough for Hulk to get the win.
If this is Guyver Gigantic, he clears with ease.