I don't think any precise theorems have fallen out yet, but the computations done by the 'Atlas of Lie groups' software of Adams, Vogan, du Cloux and many others has "completely changed the way [they] look at the field"
Edit: Jeff Adams agreed to give a lecture this semester where he would outline what surprising facts have been discovered, what conjectures have been made, what statements have been proved, etc. by looking at Atlas data. If this happens I'll post some kind of summary here.