I needed a new receiver for foreign satellite a couple of weeks ago and ended up buying this
http://cpc.farnell.com/icecrypt/3250...t=stc3250ccihd
ICECRYPT - 3250CCIHD - HD SATELLITE COMBO RECEIVER

It certainly ticked all the boxes for satellite reception but it also has
terrestrial (channels 5-12 and 21-69)
cable (112-858Mhz). I have a disused Virgin Media connection in my house - I wonder? No - apparently it's illegal to connect!
some internet functionality (I haven't tried that yet)

I see it has an RS232 connection, not seen one of those for years.

RF modulator - ch. 21-69 systems BG I DK.

It doesn't have BBC "red button" although I also have a Tvonics PVR for freeview so that is not a problem. On the whole it's pretty good, I tried comparing HD coverage of the World Cup on BBC freeview and ZDF Germany and the quality was the same on both. The only other difference is that the colour from the Tvonics box seems rather pale in comparison.

I have another non standard freeview box - Silvercrest SL35T (these were sold by Lidl several years ago). Both this and the Icecrypt receiver have some unusual features (6 Mhz channels for Argentina?) - so I wonder if they were both designed by the same people?

Not illegal at all. It maybe against their terms and conditions which you probably have not signed anyway. In the analogue days VM often wired blocks of flats so people could connect their TVs for the "must carry" channels. They also provided a cable FM radio feed to connect your hi fi to.
So feel free to connect it. You will probably be able to view the 5 main channels only as everything else will be encrypted.

What you call non standard Freeview boxes are in fact generic DVB-T or in your case DVB-T2 boxes available in most places outside the UK. They often feature 6, 7, and 8 MHz bandwidth channels, though Argentina did not adopt DVB-T. 6 MHz DVB-T is only used in Taiwan as far as I know.

I cancelled Virgin about 3 years ago, the connection to my house is tapped off their trunk cables under a cover under the pavement outside my house. I might give it a go and see if it finds anything, assuming it hasn't been disconnected.

I take your point about generic boxes although from a UK perspective it is non standard. There must be markets for these combined receivers - I wonder where they are?

They are very popular in Ireland though I've not come across that particular model. The most popular over there are the Ferguson Ariva models 150, 250 which are DVB-T and satellite. There are also DVB-T2 versions 152, and 252 I believe. All grey imported from Poland so I assume that is the main market, but anywhere where the terrestrial channels are not duplicated on satellite would use them.

The box can also do WebTV, if you can find suitable URLs - which I've been unable to find