So far, all over Herefordshire. My (admittedly limited) research into this seem to indicate that there's actually nothing at all illegal about driving a car with no front doors or windscreen. None of the rust is structural, all the tyres are good and mechanically it's spot on. Although if I do get pulled by a copper who likes doing paperwork, I'm sure they could find a reason to book me.
Doubt they'd really manage it due to the age of the car.
other notable cars that had no screen / screen could be removed yet were perfectly legal:
Mini moke
austin healey
caterham / lotus 7
Landrover
etc
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+1 RT in a windowless, doorless, windscreenless 2CV wearing some type of avaitor googles would be priceless.

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yup, just need the hat and aviator jacket
A word of warning from an engineer friend: apparently the windscreen provides a lot of structural strength, so doing many miles without it will put stresses on the frame that it's not designed to take.
He says it will also have significantly lower rollover protection, but I think you'd have to work very hard indeed to roll a 2CV!
A 2CV has no roll over protection at all, top gear blasted one across a runway using the thrust from an aircraft engine, it went over and the top collapsed much like a landrover would do.
the roof of a 2CV doesn't do much since many of them come with a full canvas top.
[QUOTE 1121145"]
There's a Caterham that doesn't have a windscreen, just a little deflector on top of the bonnet.
A few years ago I saw two blokes in one of these, in the summer, in ski hats an goggles. Their heads destroyed any credibility the car may have had.
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that'd be a superlight R500 or similar
Personally, I think you'll be fine / they'll not notice!