Both myself and the wife are getting them. Empty texts labelled from 'anonymous'. Anyone else? Any idea why?

These sound like SIM updates to me.

when i had my desire i used to get a lot of porn emails and texts.
that was on Orange as well.

I sometimes get those too, usually the day after a missed call.

I normally get them when I have powered down the phone and a message appears when turned on again but showing that it was sent hours before.

At first I presumed that they were updates from Orange so read, deleted and turned off and on, but I have since contacted Orange who claim that it is nothing to do with them.

So as puzzled as you, sorry.

I am getting the too - same as Croyde - when I turn off phone and put back on again - stupid anonymous texts come up!!

I'm also on Orange

Ones over on android forums also say about them on orange getting them

I'm also HTC desire owner - weird!

These tend to appear when you have missed a call and a voicemail message has been received. Although sometimes the text doesn't come in for a little while. It will just be a blank anonymous text with the time stated being around the same time as the voicemail was received.

i think this has been discussed on some other forums, if you just type it in to google.

Could the Desire be mishandling the instruction to switch on the voicemail notification and showing these as anon, blank SMS?