[RPG] What years/year ranges in the Forgotten Realms correspond to what D&D editions

You've found them all.

The Forgotten Realms was first published for AD&D 1st edition. When 2nd edition came out, the change in spells and available classes was explained through the Godswar aka The Time of Troubles.

The introduction of D&D 3e was exceptional in that there was no overarching, global in-setting event introduced to explain the rules changes. Oddly, the adventure Die Vecna Die! was intended to explain the rules changes (for all D&D settings), but its events were never made FR canon. WotC just proceeded with the 3e rules and setting changes without adding any corresponding historical events. The 3e change is thus “silent” in FR's historical record.

Karsus's Folly was made global setting canon with 3e as a historical detail that further developed the history of Netheril and explained some changes local to the Anauroch and some new game elements, but it wasn't the same kind of global upheaval—it was more of a retcon slipped in as undisruptively as possible.¹

The Spellplague (and about a century) explained the shift from D&D 3.x to 4e, and the Second Sundering did the same for the transition to 5e.

1. ^{Although Karsus's Folly was first described in a 2e adventure, the way 2e setting publishing worked meant that only the frozen-moment-in-time documented by the basic setting boxed set was canon. DMs were given explicit authority over what was canon beyond that. Thus changes made by adventures were only canon in a campaign if a DM used those in their campaign — because of course, the PCs might change the outcome! D&D 3e cemented Karsus's Folly as the official way it happened in Realms history for that revision of the base setting, so though it took place earlier, it wasn't canonised until 3e.}

If you are looking at the timeline from 1st to 5th edition, then it is a timespan of about 132 years.

1st edition was set in 1357 DR, while 5th edition (The Sundering) is placed at 1484 DR, and the Adventurers League play starts in 1489 DR.

This places it in line with the Phandelver, since Hotenow erupted in 1451 DR.

Numbers taken from http://forgottenrealms.wikia.com/wiki/Forgotten_Realms which purports to take the dates from the various box sets and info releases from TSR/WotC.