I just noticed that the latest Microsoft PowerToys play very well together with Obsidian.
First, make sure that the Obsidian vault (and the .md extension) is included in your Windows Search - see here for the configuration options.
Now you can search for document titles in your vault using the Alt+Space
key combination used by “PowerToys Run”. The advantage is that you don’t need to have Obsidian running to do that, and the search includes also all the other indexed files on your PC.
After finding an Obsidian document in PowerToys Run, you can either open it or click on the door icon to open the parent folder in the Windows explorer. If you enable the file preview in the Windows explorer, you will also see a nice preview, since PowerToys include an explorer add-on that can display Markdown. Nifty, isn’t it?