I actually agree with lucifer_sam here, Janszoon, and you know me to prefer RHCP BSSM and earlier. But their
popularity peaked a couple years ago with 'Dani California' and 'Snow'. If you ask anyone from my generation about the Chili Peppers, you are much more likely to hear about songs from their last three albums than their first three, possibly even more famous than their biggest hit, 'Under the Bridge'. The proof is in the pudding:
Red Hot Chili Peppers’s Charts – Discover music, videos, concerts, & pictures at Last.fm
Other than 'Higher Ground', after quickly glancing over that list I don't see another 80s Chili Peppers song until 'Knock Me Down' at #83. The majority seems to be from the last ten years...