There are lots of way in FME to perform the same functions, specifically the SpatialRelator and SpatialFilter transformers give things like interests, contains, within etc.
But then there are the overlayer transformers which can be slightly different but very useful (just type overlay in the transformer gallery search) and there are numerous versions of these.
I do recommend reading the transformer descriptions because there a lot more option in FME and you want to make sure you are using the transformers in the correct way. One hint is that you need to have the data in the same projection when it reaches these transformers, as the data doesn't "project on the fly" within FME.
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