I think it's ok except I'd prefer I lead/live a normal life as anyone else. I lead/live as normal a life as anyone else. To me, your sentence is slightly ambigous because 'normal' can refer to both 'life and I'.
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CliveHi guys,
I'd be more inclined to say
I lead a life as normal as anyone else's.
Clive
Yes, this eliminates the ambiguity that I mentioned in my previous post.