I've taught to freshmen students who have personally encountered dozens of different false positives and false negatives not only with sanitizers, but with compiler warnings as well. Nothing extraordinary, just `-Wall -Wextra -Werror` with the latest available GCC/Clang on the latest available Ubuntu LTS.
Some examples (some library bugs are also included):
https://gcc.gnu.org/bugzilla/show_bug.cgi?id=98677
https://gcc.gnu.org/bugzilla/show_bug.cgi?id=105729
https://github.com/llvm/llvm-project/issues/59432
https://github.com/boostorg/dll/issues/30
https://github.com/boostorg/asio/commit/71964b22c7fade69cc4c...
https://github.com/chriskohlhoff/asio/issues/997
I've also seen fun examples of a program working with all sanitizers in 14 modes across 3 OSes (GCC and Clang on Ubuntu, Apple Clang on macOS, Visual Studio on Windows), and _only_ failing with Visual Studio Release mode. It was an array overflow. Just was not caught by sanitizers.
Mind you: no weird C++ magic, just standard coding exercises.