Yep, looks like a micro deficiency on that mango, or mites.
Peaches - like it's been mentioned, sure you're not confusing things with what the tree should be doing, dropping it's leaves and going dormant? My peach trees lost their leaves in November, but we've also had a lot freezing weather.
If they are not dormant and are still actively growing, then check for spider mites using a 5X loupe or mag glass. Had alot of rain? Fungus pressures maybe. Hard to beat myclobutanil. It is very low toxic and very effective on all fruits including grapes. Micro deficiency? Foliar spray with something like Dyna-Gro Foliage pro, 1/2 tsp/gal. Don't forget the surfactant. Great blend of macros and micros. Mg deficiencies start at the bottom and work its way up. Typical leaf chlorosis problems.
The necrotic dots are just step one for what's soon coming - leaf necrosis. You see a few, then many which soon join up, yellowing, browning and then katy hits the floor.
I have been growing peach trees for 10 years at my "new house" and have never sprayed them with anything but horticultural oil a few times while dormant. They just seem to be bullet proof. Varieties - Harvester and Redskin, 750 chill hours.