There are definitely forms of Zionism that claim relationships with Marxism, anarchism, and other Left traditions. These movements have always had challenges from other Left movements among Jews (not to mention Palestinians, Arab communities, and the anti-imperialist Left in general).

An academic example looking at Zionism and its relationship to racism: The company Gale (that makes a variety of online and print reference sources) recently included an entry on Zionism in their Encyclopedia on Race and Racism. Pressure/input from Zionist groups have led them to make alterations to the entry.
The entry can be viewed here.
[This is a PDF file and may take some time to load on your computer]

Within U.S. Jewish communities, there is a history of rejecting Zionism as a liberation movement. One book to read on this topic is:
Prophets outcast : a century of dissident Jewish writing about Zionism and Israel / edited by Adam Shatz. New York : Nation Books, c2004.

A current Jewish group (that I work with, to be transparent) called the International Jewish anti-Zionist Network (IJAN) has the view that any form of Zionism must be rejected as an ideology and practice if one believes in social justice (from an anti-imperialist and anti-racist framework) for all people. The group’s charter is here.

Currently within Israel there is the Anarchists Against the Wall formation, and the Shministim, both which are critical of Israeli policy but don't make a clear stance against Zionism.

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