Islam considers the Torah and Psalms to be revelations of God that came before the time of the Muslims, they are mentioned several times throughout the Qur'an and some chapters are dedicated to the story of Abraham, Moses etc. pretty much everything that was in the Torah. They are however, not entirely the same, some changes are evident such as the Snake in Eden being replaced by Satan himself, Abraham being labelled a muslim (which, in his time was to be a believer in a singular God), the idea that he constructed the Kaaba (The black structure in the centre of mecca) and that Satan was an alternate dimension creature known as a Jinn (To add to this, angels cannot be disobedient to God).

Islam also carries on some additional practices like Halal; which is a variant of Kosher (Kosher is also considered Halal, although Jews do not consider Halal to be Kosher), as well as the Sabbath (Although this is disputed depending on where you are in the world).

Parts of the Torah/Psalms which do not align with the Qur'an are explained as being corrupted over time by the alterations of man, some examples of perceived corruption are rabbinic commentary and mistranslation.

Beyond this, I am not aware of any additional incorporation of Judaism within Islam, someone else might be able to identify more however. If you have any questions on what I've said though, do ask.