DirectoryOpus 4 worked on stock A500, so yes, it will work on A600 too. It was commercial product, but nowadays it's sources are free and there's free ports of it around. Not sure about their requirements, but check what can you find... original DOpus4 will work at least.
There's some other filemanagers too, but I've always preferred DOpus... although DOpus5 for last ten years
