I'm currently finding two very frequent public announcements very irritating.
Annoyance no. 1, on First Great Western Trains: after every single station there is an utterly pointless announcement asking us to read the 'important safety information' and telling us that this is also available in Braille on request. No-one every reads the leaflets and I wonder if they have ever had a single request for the Braille version? This is the arse-covering form of health and safety, telling everyone on the safest form of land transport to read a pointless leaflet presumably ticks a box for them somewhere in the HSE.
Annoyance no.2, in Sainsbury's, "Good morning ladies and gentlemen, this is a colleague announcement, please could Jo Bloggs go to the XX desk ". What was wrong with "Staff announcement...."? Immediately all the customers know it doesn't apply to them and they can ignore it.