One has to assume visual illusions would still be effective, though, if for no other reason than if the sphere is also in effect giving the occupant immunity to illusions that's a bit much.
Lanefan
I'm afraid (and it pains me greatly ;P ) that I have to partially side with DannyAlcatraz on this one. The spell description seems quite clear that "spell effects" do not cross the energy threshold of the RS barrier.
So, while, yes, I would agree from inside the sphere you can still see visual illusions, they may not (necessarily) effect you and that would be a case-by-case basis. [EDIT to add: 1) As with pretty much every scenario, illusions are best handled on an individual case-by-case basis. 2) I would also add to the previous statement, "you can still see visual illusions ...that can not directly harm you." Ergo, you could see a Simple Illusion, you could see a Phantasmal construct, but a Phantasmal Killer, for example, would not be able to harm you./EDIT]
Casting a phantasmal force of an ogre that's coming over and slamming their fists on your sphere, or a horde of hobgoblins bearing down on you with weapons, yes, you'd see them. Yes, you would believe (or not, not sure on the saves for this off the top of my head) those holographic constructs that you could see.
Something like Hypnotic Pattern (or any other enchantment spell for that matter), you'd see the rainbowy lights swirling around, but the "magical energies" that have to "reach you" and effect your mind to instill the hypnotic state/effect can not get to you. So, no HypnoPat effect in an RS. It would be as effective as Color Spray slamming against the force-field (since that's essentially what it is) of the sphere. You'd see the spray of prismatic lighting effects and sparkles and such blasting against the sphere...but the magic that stuns or overwhelms your senses can't actually reach you.
This brings up "hearing" as well. If NO [damaging] energy is passing through the sphere...does that (and I would posit that it does) include sounds waves? Can someone inside the sphere HEAR what's happening outside the sphere? Can they talk to their fellows? In the case of things like Bardic Inspiration/Song of Rest, Satyr pipes or Harpy songs...what happens?