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It is frequently claimed that International Women's Day is linked to one or another ancient festivals. None of these claims are supported by very firm evidence, but some are less dubious then others.
Greek
Adonia was the most important Greek festival celebrated specifically by women. The precise schedule of the festival is unclear, but it is believed to have been a bit later in the year. The idea of women using their influence to stop a war vaguely resembles the plot of Lysistrata, a comedy by Aristophanes. So the Wikipedia article mentioned in the question is almost certainly untrue.
Roman
An article in Russian, on an Orthodox Christian cite but claiming to cite NewsProm.Ru (no further details are provided, feel free to search if you can read Russian), states the following according to Google Translate:
In fact, on March 8, the ancient Romans started to worship women. On this day matrons - free-born women who are married - received gifts from their husbands and were surrounded by attention and care. In addition, on March 8, even slaves were released from all duties. Dressed in the finest clothes, with fragrant wreaths on their heads, the Romans came to the temple of the goddess Vesta, the keeper of the hearth.
This is very doubtful. There were other Roman festivals in which women did have a special role, such as Caprotinia in July and Bona Dea in December. Although there were other various Roman festivals in late February and early March, I can find no evidence of a link to International Women's Day.
Jewish
The Russian article quoted above further claims, in much more detail, that there was an association between the origins of International Women's Day and the Jewish festival of Purim. Purim does occasionally fall on March 8, and some modern Jews embrace the coincidence. But the Russian article explicitly (and falsely) states that socialist activist Clara Zetkin scheduled Women's Day to fall on Purim. A Jewish site attributes this claim to "Andrei Kurayev, an anti-Semitic archdeacon of the Russian Orthodox Church", but I'm unable to verify this.
Persian
SepandΔrmazgΔn is an ancient holiday with relevant associations to women, although it is more generally thought of as a day of love. A modern calendar introduced in 1925 set the date at calendar February 24. Some early celebrations of International Women's Day were in late February. This might be worth some further investigation, but is probably coincidental.
Upvote:4
It is well known when and how this celebration was established: on February 28 1908 there was a demonstration of a women social democratic organization in New York. In 1909 Socialist party of America proposed to celebrate "women's day". In the beginning it was celebrated by social democrat women's organizations on different dates in different countries, the date floated because they wanted it to be a Sunday.
In 1914 the celebration in Petrograd (now St Peterburg) happened on March 8 (23 February Julian style), and this coincided with February revolution. (It was actually a part of this revolution:-)
In 1921 the date was officially set on March 8 by the Second International Communist women conference.
This history clearly shows that it is very unlikely that those involved in establishing this celebration had in mind any ancient pagan feast:-)