The big East European wave - which the bulk of American Jews are descended from - came to an end in 1924. However I can think of the following immigrant groups:
German and Austrian Jews, 1933-1940
Holocaust survivors and Displaced Persons after WWII
Hungarian 56ers
Jews from the Soviet Union and Former Soviet Union, first in the 1970s and then again in the 1990s
South African Jews in the 1970s/1980s
Persian Jews after 1979
Israelis mostly since 1970s/1980s
As a general rule, Jewish immigrants are more conservative than American-born Jews, but there's variation.
The pre-1965 groups have merged into the American Jewish community, AFAIK there's no "German Jewish community" or "descendants of survivors community." However the German group would have been more likely to integrate into more liberal streams, while the survivors contained both an ultra-Orthodox component (Hasidic communities are basically post-WWII) and a high level of Jewish consciousness, so underrepresented in the liberal/Reform community and more likely to be Orthodox or Conservative.
German and Austrian Jews and Survivors of Holocaust likely heavily Democrat and almost to same extent as American born Jews (although few from this cohort still alive and mostly descendants today).
Hungarian 56ers I think GOP does better with and Jews of Hungarian descent GOP may have won due to fact a high percentage are Orthodox Jews not Reform or Conservative like most in US are.
Jews from former USSR probably more likely to be Republican as strong anti-communist sentiment so somewhat like Cuban and Vietnamese-Americans. I know in Canada that cohort which is large in GTA definitely has strong Conservative tilt.
South African Jews no idea on how they vote
Persian Jews - Beverly Hills has a lot and looking at results there GOP may have won here or at least would have been very close. Definitely far more favorable to GOP than American born Jews.
Israelis - Probably still Democrat as while Israel has really swung to right in recent there is still big age divide. Older Israelis tend to lean left but younger are quite right wing and Israel has a very young population. At same time I suspect the more secular types probably more likely to move to US than really religious types. Probably more come from Tel Aviv which leans left than Jerusalem which is quite conservative.