/ Compact camera
Personally, I don't think that you will find any compact for around £80 that will NOT meet your requirements.
I've even had excellent compacts sub £50.
There are lots of great ones about, as that is the sort of use most of them are designed for.
One of the lower end panasonic lumix cameras would meet your requirements. Fujifilm, Sony and canon do some good cheap cameras too.
I wouldn't bother with a compact from Nikon myself, although their SLRs are a different story...
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