The "ouch... free IIci"
Do NOT use fingernail polish remover (acetone). It will probably slime the paint off, but it will deform the plastic too.
Some cheap spray paint won't bond to plastic, hardly at all. If you are so fortunate, it may actually peel off if you can get it started. It may help to submerge the affected plastic pieces in water for a great deal of time. This may loosen the paint allowing for said peeling process.
Submerging in alcohol would be ideal but cumbersome. Maybe coating it with strong alcohol, and reapplying to keep it wet for a while may also loosen it enough to peel.
Some cheap spray paint won't bond to plastic, hardly at all. If you are so fortunate, it may actually peel off if you can get it started. It may help to submerge the affected plastic pieces in water for a great deal of time. This may loosen the paint allowing for said peeling process.
Submerging in alcohol would be ideal but cumbersome. Maybe coating it with strong alcohol, and reapplying to keep it wet for a while may also loosen it enough to peel.
I know everyone is going to hate me for this but here goes.
I like it. A lot.
Get some rags and spray them with other glow in the dark paint until they are literally dripping. Then sling them around so as to create trails of glow in the dark multi-colored Rave stlyed madness. I'd use purple, orange, blue and so on. I'd also do the keyboard and mouse along with the LCD or CRT. Stick it my garage as a backup / garage 'puter and put a blacklight over it. It would be so awesome.
I would take the time to ensure the logo and rainbow apple were properly protected so that they would be able to play as well.