I was watching this Shabbat video (a service to mark the beginning of the Sabbath, in Friday night), and there seems to be several similarities with the Mass rite (at least the Catholic one). (Notice the service is that of a Reformed Jewish community, and not Orthodox one).
There is the introduction rite (including lighting of candles) and concluding one, singing and reading of Torah (Psalms included), sermon by the Rabbi (?), a sacred place where the Torah is kept (a bit like the Tabernacle), a prayer for the coming of the messianic age, where people get closer together and hold arms or hands (like the Our Father), and so on.
Now, on the one hand, since the first Christians were Jews, it is reasonable to expect that the Christian worship be based on the Jewish one, with the introduction/modification of key elements, like the Eucharist itself (related to the Passover and etc). But also it is true that (early) Church fathers wrote against the "Judaization" of Christian practices (e.g. here and more general here).
The video I showed is however of the Reformed Judaism, a form of Judaism which seems not to have existed in Early Christianity. A more reasonable question is then how Orthodox ritual practices inspired the Mass. If this video gives some light on the Orthodox practice, in the second Century Ignatius of Antioch, arguing against Judaization of Christian practices wrote:
But let every one of you keep the Sabbath after a spiritual manner, rejoicing in meditation on the law, not in relaxation of the body, admiring the workmanship of God, and not eating things prepared the day before, nor using lukewarm drinks, and walking within a prescribed space, nor finding delight in dancing and plaudits which have no sense in them.
Is there some formal analysis of the relationship between the Jewish service and the (Catholic) Mass?