Other than "Jarvis" and "Friday", there are at least THREE other named AIs and possibly several other unnamed ones.
Two of which are seen in Age of Ultron
These are JOCASTA & TADASHI as detailed in this earlier M&TV Q&A: What were the other A.I. chips and whom are they referring to?.
Note that there are at least TWO other chips seen but the labelling (and hence the names) are not seen.
Since then we have seen Spider-Man: Homecoming which also features an AI, which apparently was not given a name by Stark but is called "Karen / Suit Lady" by Peter Parker.
Spider-Man: Far From Home also features another AI (apparently) named E.D.I.T.H. which can remotely access a network of security drones and is accessed via a pair of high-tech glasses first seen in Captain America: Civil War.
EDITH is said to stand for "Even Dead I'm The Hero".