Sorry for nitpicking but your first post read like Dresden had special traffic laws and green arrows were rare outside a handful of cities (plus AIUI the green arrow has slightly stronger implications in the US).
NYC should secede from NYS.
http://s3.freefoto.com/images/41/03/41_03_88_web.jpg
(English: "Give way")
"4 Way" or "All Way" -- Indicates that every entrance to the intersection has a stop sign. I understand all way stops are either uncommon or unheard of in Europe.
"Cross Traffic Does Not Stop" - often used with "Two Way" stop
"Traffic from the left/right does not stop" -- often used when one direction is coming off a signaled light or crossing railroad tracks, or other cases when traffic from one direction needs to continue to flow to prevent a backup that could be dangerous.
Also worth of note: when traffic lights are active they always take precedence over static signs which in turn take precedence over road markings (which themselves take precedence over road layout). The green arrow sign is special in this regard because the rules for traffic lights explicitly take it into account -- otherwise the red light would always trump the sign because of precedence rules.
https://ais.badische-zeitung.de/piece/00/bb/82/9b/12288667.j...
But the Rechtsabbieger "Grünpfeil" is also in the StVO § 37 Abs. 2 Nr. 1 Satz 8 bis 10 https://de.wikipedia.org/wiki/Gr%C3%BCnpfeil
History: The old DDR came up with this Grünpfeil (turn on red) law. During the Wiedervereinigung it was "agreed on", that this law can persist for max. one more year, 1991. But based on huge civil protests on silly law reforms (same for abortion and women rights which where more advances in the east), Germany kept this exception, and even some old ex-BRD towns introduced it since.
I believe Dresden had most of the existing 2.500 Grünpfeil signs in Germany, but in the meantime the west has caught up, and there are now 5.000 such signs.