The existence of the Serpent Column more or less answers your question, as it wasn't an Athenian dedication at all, it was a pan-Greek dedication to Delphi, and bears the name of several cities (Sparta, Corinth, and Athens are all inscribed on its second coil). Famously Pausanias pissed everybody off by acting as thought he had personally dedicated the offering, not the Greeks as a whole. But anyway, lots of cities erected monuments to the victory or dedicated offerings. Pausanias (different Pausanias, not the general) mentioned the existence of a Persian Stoa at Sparta, built with the plunder taken from the Persians during the war. Herodotus mentions that the Tegeans, who were the first to storm Mardonius' camp at Plataea, dedicated the bronze manger they found in Mardonius' own tent to Athena Alea. There are memorial inscriptions set up throughout the Greek states that participated in the war--I know of one surviving one from Megara (and Pausanias mentions a special tomb to those killed in the Persian Wars within the city) and an altar at Delphi dedicated by the Chians, but there are many others. And of course Herodotus mentions the monuments at Thermopylae, one for the Greeks who fought there in general, one for the Lacedaemonians, and one to Megistias--the stone lion that Herodotus says was erected on the site where the Lacedaemonians and Thespians made their final stand is not included in his in his list of the monuments erected immediately afterwards by the Amphictyons and was probably a later addition