OK, back to David... I looked at your boxes which are really lovely. I concur that your photos should all be on similar backgrounds which would showcase them a little better.
And I totally agree with what BeaG said about titling and tagging. I am not sure my items really fit the Browse categories as I have only had one hit in Browse. People can find me easily enough in the regular Search box at the top. As for yours, you have to have the right words to be found in Search. I say, concentrate on the easy stuff.
Example that I found: a really pretty box labeled Beautiful Bocote. I had no clue what that was and would not search it that way. Nor would it be found in Browse that way.
I think simply said, you have to dumb it down to the easiest kind of search. I hope you aren't offended by that. I mean, give easy names that buyers might think of. The list of tags BeaG gave are perfect and wonderful for your types of boxes.
For this particular box, I might list it as: Handmade Box of Mexican Rosewood in Cube Shape
The description and tag could include the words Bocote as well as size and uses. Etsy's rules prohibit the use of words like "gift" because anything sold can be a gift. So keep in mind actual descriptors of the item itself. Take a look again at the great tags BeaG suggested.
What I do for my similar items (and boxes are all similar but different!) is leave ALL 13 (yes, use 13) in place, but as I am looking at them, start typing them again in the box and add new or different words depending on the woods, glass, size, etc, separated by commas, in the tagging box. When you are happy with it, start deleting the ones on the right that WERE there. Then click on ADD to put in the new ones. Bingo! You have your new tags and they are the right ones for this new item. It's pretty easy and they are relevant (the big word) for searches.
Good luck. Don't get bummed about Browsing. Just shoot for the right stuff in searches and Browse will probably follow once you play around with it to see where things like yours are. Then you can change a few of the tags.