Well Green Tea does all of these. I am having good results using Sencha organic. I brew like 6 grams and take it all. Drawbacks are that apparently is somewhat anti-androgenic and goitrogenic and the caffeine makes me jittery with more than 6 grams. Its cognitive enhancing profile and antioxidant/antinflammatory, immuno-modulating actions are outstanding though.
I have seen coincidentally some studies showing that berberine, aside from whatever it does to the gut, benefits the brain. Maybe is safe for longterm use, we never know. What I wrote earlier comes from a nutritionist I once met, I haven´t used berberine myself. Just now I read some studies and apparently because berberine is able to kill lactobacilli and bifido it is anti-diabetic and anti-obesity. Lower microbes of these means less degration of polyssacharides, calorie absorption and stuff. Of course is nowhere as potent as an allopath antibiotic, its kind of a natural way of control for someone with too much "good" bacteria which seemingly has to do with obesity. That was an interesting find!
If you have leaky gut or anything like that, you want to keep your bifido and lactobacilli high.