zahavasdad,
(I dont know of any others except for the Hebrew Institute).
In communities not far from mine, there are three Open Orthodox shuls (two of which were previously Orthodox shuls, and one still uses the term “modern Orthodox” instead of Open Orthodox), and a private school with an Open Orthodox rabbi as religious supervisor (previously modern Orthodox). The Open Orthodox rabbis have even formed their own vaad hakashrus, and are extremely vocal outside of the frum community, often criticizing the mainstream Orthodox bodies.