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I'm looking for advice on troubleshooting the dead batteries I've been having.

Every few months my car's battery is dead. It seems to happen more often after a period of not driving it. When it dies I jump it and drive it a long ways and then it's fine for a while. My mechanic can't find the problem (he's tried twice), and says that the battery and alternator are fine. That makes me think it's a parasitic draw. I'm REALLY careful about turning everything off (especially after it happened a few times).

Today I measured the current when everything was turned off, and it's about 120 milli-amps, which is *roughly* twice what it should be (I think??). I'm a bit surprised my mechanic didn't mention this high draw? I pulled all the fuses, 1 by 1 (hoping to find the culprit), and the current never dropped. This car is completely stock.

I've never posted here before. Please let me know if I can clarify anything!

 
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Did you pull all the fuses in both fuse boxes? (In car and under hood)

 
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I pulled all the fuses in the interior box. In the under-hood box I pulled all the obvious and easy ones, which I circled in red in this picture. Everything not in red was not tried. there is a small panel in the bottom right (circled in green) and I wasn't able to easily get the lid off.

 
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Use a small flathead to gently pry the tabs on that cover, grey thing looks like a relay, pull it and see what happens

 
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update: I've pulled the remaining fuses/relays except for the big block circled in green. I was able to pull it upward, but then it clips in very securely and it's not so clear to me how to get it loose. I'm worried that if I jam my screwdriver in there the plastic tabs holding it will break off...

 
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You need to push them in, use a little screwdriver

 
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update: I brought the car into the Honda dealership in late September (after posting here) and they couldn't find any issues. They replaced the battery. 6 weeks later another dead battery. I brought the car back to the Honda dealership, and their only advice is to invest in a battery tender. They pointed out that it was only driven 300 miles over that 6 week period. I can't remember exactly how those 300 miles went down (one long trip vs many shorter trips), unfortunately.

At this point I feel like I'm out of options, so I will invest in the battery tender. But I've never heard of going from new battery to dead battery in 6 weeks. Any thoughts on this? Ever heard of a battery going dead that quickly without there being some parasitic draw on it?

 
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test the remaining fuses

 
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I've pulled all fuses/relays except for the big block circled in green, which I don't feel comfortable pulling out.