An estimated 500,000 birds die worldwide due to oil spill every year. This is especially important because seabirds are the most commonly endangered type of bird (https://ornithology.com/birds-and-oil-spills/). During just a single oil spill incident, Deepwater Horizon, 800,000 coastal birds and 200,000 offshore birds died (https://www.audubon.org/news/more-one-million-birds-died-during-deepwater-horizon-disaster). In addition to this, oil spills kill and endanger many other animals, such as fur bearing animals like sea otters, to sea turtles, dolphins, whales, fish, shellfish, and coral (https://oceanservice.noaa.gov/facts/oilimpacts.html)
Although wind turbines do kill a significant number of birds every year (somewhere between 140,000 and 680,000), they are significantly less damaging than oil spills (https://climate.mit.edu/ask-mit/do-wind-turbines-kill-birds). These numbers are statistically smaller than deaths by oil spill, but they are also less horriffic, as it is only a fraction as many birds are killed per year by housecats, cars, buildings, or the lethal fossil fuel operations being replaced by turbines. Wind projects kill 0.269 birds per gigawatt hour of electricity produced, compated to 5.18 birds per the same unit by fossil fuel projects (https://thereader.mitpress.mit.edu/do-wind-turbines-kill-birds-and-other-climate-questions/). So Ultimately, no, wind turbines do not kill more birds than oil spills, which have many more terrible repercussions, and wind turbines are better for birds than other alternatives.