A very good example of the type John! I have a decent Arcadius and an ok Theo II of this type but not Honorius. I happen to have a scarce bronze type of Honorius from near the time of the 410 AD sack. The VRBS ROMA FELIX was struck at Rome (and a small amount at Aquileia), from 404-408 AD. I find it interesting (if the dates are correct) that the end of minting of this type, celebrating "the happy city of Rome", coincided with the first blockade of Rome by Alaric and his Visigoths. With this in mind I think it's pretty obvious why the mint decided to axe this coin type.
None. The closest I'd say would be the coins of Priscus Attalus, the puppet emperor that Alaric propped up in Rome during the 408-410 crisis. Attalus's authority rested on Alaric and his forces. The first coins struck by the Visigoths were imitations of Honorius siliquae, and by then Alaric was already dead and the tribe was already settled.