Tour(s) in which song is known to have been performed (main source: FZShows, v. 7.1):

• June, 1966 (The Mothers) <quoted>
• December, 1967-August, 1968 (MOI)
• May-August, 1969 (MOI) <quoted>
• October-December, 1973 (MOI) <quoted>
• September-October, 1974 (MOI European Tour) <quoted>
• September-December, 1975 (MOI) <quoted>
• May-July, 1980 (Europe) <quoted>
• October-December, 1980 (North America)
• May-July, 1982 (Europe) <quoted>
• October-December, 1984 (North America) <quoted>

Comments:

A partial list of "Funiculì Funiculà" quotes compiled by Charles Ulrich

3/66 studio (It Can't Happen Here, as heard on Freak Out!)
6/66 San Francisco (Handsome Cabin Boy)
5/3/68 Denver (Little House medley, as heard on Electric Aunt Jemima)
8/10/69 Warrensville Heights (jam)
9/8/74 Bologna (Montana)
6/14/80 Nantes (Pound For A Brown)
11/30/80 Des Moines (My Sharona, Andy)
12/5/80 (late) Berkeley (stand-alone)
12/8/80 Santa Barbara (stand-alone)
4/6/82 rehearsal (stand-alone)
7/5/82 Genoa (what song?)
7/7/82 Milan (King Kong)

Any more?