Also even “Today” is not a happy song lol. From Wikipedia:

After the release and minor success of the band’s debut album, Gish, the Smashing Pumpkins were being hyped as “the next Nirvana”. However, the band was experiencing several difficulties at the time. Drummer Jimmy Chamberlin was undergoing an increasingly severe addiction to heroin; James Iha and D’arcy Wretzky had recently broken up their romantic relationship; and Billy Corgan had become depressed to the point of contemplating suicide and plagued by writer’s block. Corgan recalled that “after the first album, I became completely suicidal. It was an eight-month depression, give or take a month, and I was pretty suicidal for about two or three months.”

…

The dark, ironic lyrics of “Today”, describing a day when Corgan was feeling depressed and suicidal, contrast with the instrumentation. Michael Snyder of the San Francisco Chronicle said that the song is “downright pretty as rock ballads go” but that “Corgan manages to convey the exhilaration and tragic release he seeks.” Corgan told Rolling Stone that “I was really suicidal … I just thought it was funny to write a song that said today is the greatest day of your life because it can’t get any worse.” Corgan later compared writing the lyrics of “Today” and “Disarm” to “ripping [his] guts out”.

Lily is kind of happyish.