As in the time of Milchemes Ay, Hashem stopped the sun for 36 hours. Where else in Tanach did it happen? I need more then one.
The verse immediately following Joshua's miracle states:
וְלֹא הָיָה כַּיּוֹם הַהוּא, לְפָנָיו וְאַחֲרָיו, לִשְׁמֹעַ יְהוָה, בְּקוֹל אִישׁ: כִּי יְהוָה, נִלְחָם לְיִשְׂרָאֵל.
And there was no day like that before it or after it, that the LORD hearkened unto the voice of a man; for the LORD fought for Israel. (Joshua 10:14)
So it would seem it didn't happen any other time.
That said, the Talmud (Avoda Zara 25a) discusses two other times the sun stood still: once for Nakdimon ben Gurion (see Taanit 19b) and once for Moshe. Rashi in Avoda Zara understands this to be referring to the sun standing still during Moshe's battle with Sichon. Devarim Rabbah (to Parashat Va'etchannan) says that the sun stood still for Moshe on 5 occasions: the day of the Exodus, of the Splitting of the Sea, of the war with Amalek, of the Revelation at Mount Sinai, and of the crossing of the Arnon Valley.
It's worth noting that Ralbag in his commentary to Joshua (10:12) rejects that the sun stood still for Moshe, because that would be so great a miracle that the Torah, which is meant to inspire us, would certainly have told us about it. (More interestingly, he then rejects that the sun stood still for Joshua because that would make Joshua a greater prophet than Moshe. So he explains the verse to mean that the battle finished extremely quickly before the sun and moon made it to Givon and Emek Ayalon respectively.)
12 Then spoke Joshua to the LORD in the day when the LORD delivered up the Amorites before the children of Israel; and he said in the sight of Israel: 'Sun, stand thou still upon Gibeon; and thou, Moon, in the valley of Aijalon.' 13 And the sun stood still, and the moon stayed, until the nation had avenged themselves of their enemies. Is not this written in the book of Jashar? And the sun stayed in the midst of heaven, and hasted not to go down about a whole day.
Immanuel Velikovsky is well known for writing on this topic, in his book Worlds in Collision. Velikovsky argues the position that described phenomenon, like the sun stopping, were astronomical realities.
I welcome more authoritative sources and references for Velikovsky.
References like this, I think, are not those for which @Curious is looking:
And when Jacob ceased praying to the Lord the earth shook from its place, and the sun darkened, and all these kings were terrified and a great consternation seized them. Jasher 37:17
I continue to look for work that can fill out this answer.