Yeah, sorry, but I agree with ShutUpLegs.
He's either bored or feeling guilty. He may not have anything to feel guilty about just a generalised anxiety. If so, what's the underlying cause ?
Also, sorry to say this but he might be feeling a bit, 'what's it got to do with you ?' immature attitude going on.
Apparently people also lie when they don't feel good enough. I'm not saying this is what the OP's husband is doing.
My husband has a relative and we know when she's lying because her lips move. It used to make us angry, these days we just laugh behind her back. We say to each other half the time she makes things up the other half is just lies.
I once worked with someone who kicked her husband out of the marital bed when he lost his high paid job. Their marriage was then breaking down very slowly. One of the long standing problems was he would not tell her how much he spent if he purchased something. It could be something as mundane as a pair of shoes she would have to ask, 'how much did they cost, fifty quid ?' Oh something like that he would reply. He didn't spend a great deal of money and it wasn't as if they couldn't afford it. She just seemed distrustful of him, I think he was fed up with being questioned like a guilty suspect.
OP's husband does not have a problem with the petty little lies such as pursuing his hobby with a friend on a day off but saying he had a quiet day and did paperwork. So, unfortunately he's not going to change. Maybe he feels that he has to account for his time and as has been mentioned, OP's wife seems to have become an authority figure.