Its true to some extent that Goering doesn't really fit into that group of "radical Nazis" who were responsible for developing and tweaking the Nazi racial theory, this would include people like Hans Frank, Heinrich Himmler and Alfred Rosenberg.
But Herman Goering wasn't some secret anti-Nazi. He definitely bought into the racial theory, or at the very least he had no problem implementing it.
Goering was a key figure in developing things like the Hunger Plan, which entailed starving millions of "inferior people" to death. In 1941 he told the Italian foreign minister, Ciano, that "This Year 20-30 million people in Russia will starve". Goering's Green Folder outlined Nazi plans in the East. Goering signed off on and endorsed orders that led to countless deaths and suffering for non-Aryans.
Goering agreed with Hitler's and Himmler's orders that the Jews should be completely deported and destroyed. In private conversations with Martin Bormann, Goering said that he "believes the steps taken by the Reich leader of the SS, Heinrich Himmler, to be absolutely correct". Goering also gave a speech a few days earlier which said that Churchill and Roosevelt were "drunken and mentally ill people who dangle from the Jews' wires". Goering agreed with Hitler that the extermination of the Jews and other non-Aryans was a necessary act to ensure the survival of the German people. Goering referred to the war as a "great race war about whether the German and Aryan will survive or if the Jew will rule the world".
It's also worth noting that Goering was formally in charge of Jewish policy. Goering therefore gave a number of orders that allowed the Jews in any German controlled territory to be killed. One such order was give to Reinhard Heydrich. The order stated that Heydrich had the power to "make all necessary preparations in organizational, practical, and material respects, for a total solution of the Jewish question in the German sphere of influence in Europe".
As for other "Nazis" who may not have been as anti-semetic. A number of the July Bomb Plotters, notably Claus von Stauffenberg, while still anti-semetic, didn't think the Jews should be exterminated. There weren't any Nazis that one could classify as "not an anti-Semite"
You need to consider the historiographical issues this poses. Determining what any historical figure "personally" believed is difficult, especially for someone such as Göring who was a public figure, thus requiring separating official policy announcements from personal beliefs. Furthermore, Göring, unlike most of the other Nazi leaders, survived the war, meaning it was in his interests to disclaim personal anti-Semitism and try to dissociate himself from the worst excesses of the regime. It's notable that other prominent figures who survived the war, such as Speer, Dönitz, and Wolff, all argued that they themselves were not anti-Semitic. Taking those statements at face value would make no more sense than taking the hysterical propaganda some of them signed off on as true reflections of their beliefs. Himmler and Goebbels are seen as the most anti-Semitic of the Nazi leadership - but Himmler and Goebbels were never interviewed at Nuremberg. What an astonishing coincidence it is that all of the Nazis who were just happened to be the ones who weren't anti-Semitic anyway...
Göring oversaw the Aryanisation of the economy with much greater fervour than Schacht, in 1938 presided over the final restrictions that essentially banned Jews from civil society in Germany, and in 1941 tasked Heydrich with the Final Solution. He also issued numerous anti-Semitic statements, attended Hitler's private dinners filled with anti-Semitic rhetoric, and had direct operational responsibility over anti-Semitic acts, such as using his police powers to order non-interference with anti-Semitic violence. If he was not "personally" anti-Semitic, then, he was at the very least sufficiently apathetic that he was content to allow atrocities in his name. Furthermore, some of his alleged softening acts don't stand up to much scrutiny. It's true he was disgusted with Kristallnacht, but his concern seems to have been damage to the German economy, not the welfare of the Jews; he did keep on Erhard Milch as a deputy, but even Hitler protected some "Jews", such as Emil Maurice.
Nonetheless, it is fair to separate his views from those of, for example, Himmler, who was possibly the most ideologically committed anti-Semite of the Nazi elite. A nuanced treatment of this is found in Karl Schleunes's The Twisted Road to Auschwitz, which is an important work in the functionalist interpretation of the Nazi regime. In it, Schleunes makes clear that there was not one monolithic "anti-Semitism" among the Nazis; rather, it was a convergence of different prejudices. Some were fiercely anti-communist and their anti-Semitism arose from the construction of "Jewish-Bolshevism"; some had almost the opposite views and were opposed to "international finance", the idea that Jewish bankers such as the Rothschilds held undue influence; some were motivated by pseudoscientific racial theory. Schleunes argues that Hitler used a divide and rule strategy to ensure that these disparate beliefs all worked to his common goal (some historians since have credited Hitler with less overall control and recognised the Nazi state as even more dysfunctional). Willi Frischauer, in his recent biography of Göring, says that he was simply a "realist".
As for personal financial gain, yes, he certainly did profit immensely from expropriation of Jewish property and the corruption of the Aryanisation process during the Four Year Plan.
He was most definitely antisemitic. The best example I can find is of his interactions with JG53. Basically, Göring was informed that the Geschwaderkommodore (Air Wing Commander) of JG53 had a Jewish wife and punished the entire squadron for it.. All of JG53 removed the hakenkreuz from their aircraft as protest to the treatment of their commander by Göring.
If that doesn't show his antisemitism, I don't know what does. I'm sure there are other examples and stories, this is just the one example that I am familiar with off the top of my head.
EDIT: I forgot how to words
EDIT2: non-wiki source: The Most Dangerous Enemy - Stephen Bungay
A little-known fact is that Hermann Goering had a brother, called Albert, who was an anti-Nazi and who saved many Jews, possibly thousands. He was also an all-round good bloke.
Hermann knew about his brother's activities, and covered for him throughout the war, sheltering him from prosecution. Even though their beliefs were totally opposite, both brothers remained close. Read the excellent book by James Wyllie, "Goering and Goering" (ISBN 9780752456485) for more.