The most emotional song on One Hot Minute is appropriately titled "Tearjerker". It's a eulogy song to Kurt Cobain, who Anthony Kiedis held a lot of respect for. It's beautiful. You would not suspect it to be a Red Hot Chili Peppers song at first, but Anthony's distinct voice gives it away. Dave Navarro's playing is superb — and can serve to make you sad, or provide an uplifting sense of serenity to the listener.
"My Lovely Man", Anthony Kiedis' tribute to the bands original guitarist Hillel Slovak, who died of a heroin overdose.
"Death of a Martian", a tribute to Flea's dog, who died while they were recording Stadium Arcadium.
Then there are "Under the Bridge", "Dani California", and "My Friends".
"Brendan's Death Song" was written in the first jam session for I'm With You, which took place immediately after the band had found out that the man who had not only helped get them famous but had also been a lifelong friend—Brendan Mullen—had passed. Thus started a somber jam session which became Brendan's Death Song, one of their most poignant requiems yet (and given their tendency towards requiems, this says a lot).
The band sometimes take breaks from the dick-waving fun of Blood Sugar Sex Magik to provide moments of this, like "Breaking the Girl", the aforementioned "My Lovely Man" (which comes purely from the lyrics, musically speaking it's another high-energy funk-rock song) or the more famous "Under the Bridge"note Interesting to note here that when Kiedis first showed Frusciante the lyrics, Frusciante claims he interpreted them as being "sad" and intentionally wrote the opening riff to sound "happier" in contrast. Another example would be the Epic Rocking of "Sir Psycho Sexy", which after two whole sections of funk and a more spacey interlude, launches into a long, emotional, Hey Jude-ish fade-out based around the combination of Frusciante's melancholic playing and Brendan O'Brien's mellotron.
"Venice Queen", a sweet eulogy to Kiedis' deceased drug rehabilitation therapist. It starts with a melancholic melody and when the second half begins, becomes a full-fledged tearjerker:
"We all want to tell her tell her that we love her We all want to kiss her tell her that we miss her Venice gets a queen best I've ever seen..."
From the same album, "Don't Forget Me". The chorus and solo are heartwrenching.