Let's take a less chosen PoD for this - Alfred Hugenberg's death in 1925 or so. His media empire, which promoted the Nazis significantly, never achieves the scope of OTL or possibly unravels, and the DNVP remains a conservative party instead of cooperating with the Nazis even after their 1928 election losses.
The Great Depression still hits. Electoral gains for the NSDAP are still likely, and so are coalitions on the level of regional states. But on the national level, the DNVP is more likely to back governments like Brüning's, maybe even preventing the 1930 elections if the motion of no confidence against him fails in the Reichstag, postponing them into 1931 or maybe even the regular 1932. Gains for the Nazis and KPD are inevitable under the conditions of Great Depression and deflationist policies, so a bourgeois-junker right-wing government may have lost any chance to circumvent a vote of no confidence after that election, but that leaves a lot of options. Maybe the Nazis are integrated into a broader coalition government (like in Thüringen), which falls apart after a year or so without necessarily having achieved anything akin to the February 1933 decrees? Maybe the DNVP tolerates a new Great Coalition, which holds on to power by the skin of their teeth against Nazi, communist and agrarian motions of no confidence?
Either way, there are many plausible scenarios resulting in a Germany with a sizable Nazi party but no Hitler government by the mid-1930s - and after that, a Nazi takeover becomes less and less likely, as the economy slowly recovers. In the crisis, the Nazis gobbled up the vote of countless small single interest parties. When the crisis ends, these (or other) single interest parties are going to return, and bourgeois parties are going to recover slightly, too - or the SPD is getting stronger, depending on who is being credited for steering Germany out of the Great Depression.
If any of these hold, there is not going to be a WWII as we know it. Simple as that.
The effects of a continued Weimar instead of Nazi government would be strongest in Germany itself, of course, but outside, it could prevent Austria's slide into autocracy in 1934, it would probably prevent the Popular Front strategy of the Comintern from coming into being, thus keeping the Left in Spain and France divided. Poland's descent into ever more authoritarian rule may or may not happen. That's about what I think would clearly have changed by 1936/7.