"I'll Bet He's Nice"

One of the lines in "I'll Bet He's Nice" is "'Cause I remember you and I."  I think this is actually just a grammatical error (similar to "Love was made for her and I" in "The Night Was So Young" and "And I tell her all about you and I" in "Airplane"), but it could also indicate something else.  Instead of direct objects (in which case they should be "you and me"), "you and I" could be the compound subject of a noun clause that's the direct object of "remember."  An explicit "that" makes it clearer:  "I remember [that] you and I...."  There's no verb here, but this fits with the sentiment of the song.  Part of the previous line is "it makes me cry," so it could be that while reflecting on the past, the narrator is overcome with emotion and interrupts himself here before he gets to the verb.