Did they sing them like once and then never again? What happened to the manuscripts? Are there any recordings with which I could compare what Anfossi wrote to Mozart's insertions?
Nemesis
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These are the arias K418, K419 and K420, first presented at Mozart's Akademie of March 23, 1783 at the Burgtheater, in the presence of the Emperor. This Akademie, and a number of others taking place between November 1782 and March 1783, also saw performances of the piano concertos K413-415 written for these occasions . Beyond that the arias simply joined the Mozart canon of concert arias like all the others, and from then on get performed, as & when, that way to this day.
The first two arias, K418 and K419, were written for and presented by Aloysia Lange, aka Mozart's sister-in-law, née Aloysia Weber. These, together with the tenor aria K420 for Adamberger, were then subsequently used in a production of Pasquale Anfossi's "Il curioso indiscreto" in its Vienna production of that same year, 1783. A further aria for the same composer's "Le Gelosie Fortunate" follows for its Vienna production of 1788.
K418 "Vorrei spiegarvi, O Dio!"
http://www.youtube.com/watch?v=0x5WmiBVCP8
K419 "No, no che non sei capace"
http://www.youtube.com/watch?v=XZ3hdDJPKnk
K420 "Per pieta, non ricercate"
http://www.youtube.com/watch?v=h42KvHP0Hzw
I'm afraid I can't recall the manuscript status for these particular arias, just 'on the hoof', but if you nip across to the NMA-on-line, and seek out the volume of concert arias concerned, you should find it detailed in the specific commentary to each, if known. I'm afraid I just don't have the time to do that for you right now... :-)
Though one or two of Anfossi's operas have been recorded more recently, a quick scout of the Amazon database doesn't reveal hide or hair of 'Il curioso indiscreto' so that may prove a pleasure for you still to come at some possible point in the future... ;-)
All the best,
Omar Cayenne
They got used in a pet food commercial.