I plan to stay well clear of the police when I visit Russia,but nevertheless, this is good to know. If you are already in trouble, I guess it's a good idea not to make it worse by accidentally sounding "rude".
Btw, didn't you say that "товарищ" is outdated? Or is this the exception? Saying "Officer" to policemen is American usage. It's not normal in Britain. An American friend of mine did it here in the UK a while back and the policeman loved it.... Usually people are not that respectful. No particular form of address is needed (and I think it's the same in France; only "Monsieur", same as you would use with anyone.)
Since we are talking about this topic.... can anyone give some tips on things that are illegal in Russia but may be completely "normal" in other countries... I mean things that you could get into trouble for in Russia, but wouldn't think twice about in other parts of the world. As an example; "jaywalking" in the US (=crossing the street when the Red man is showing - apparently serious offense there, they even have a special word for it...) or dropping a cigarette on the ground in Singapore ($10000 fine).
If there is anything like that in Russia it would be good to know about it beforehand.