I tried to make a really simple \"hello world!\" import using EGit in Eclipse. I have not found any evidence that the software is not working (no bug found in Google), so it
In the Import Projects from Git dialog the Use New project wizard option seems to be broken (see Eclipse bug 324145).
Workaround:
Probably, the problem occurred after the repository has been cloned (otherwise you have to clone the repository first). To import an existing local Git repository use File > Open Projects from File System... (instead of File > Import... > Git > Projects from Git). If the project is not an Eclipse project but contains .java files, the project will be configured automatically as a Java project. The local Git repository will also be detected and added automatically.