Just to add to the answer above, I agree 100% that those are a good basis, I try to use the yearly new theme every time, since all the new features will be implemented in it, and I can just pick what I leave out or not. Anyway, I've done this many many times and I believe it's not as painstaking as a task as Pieter suggests. You can get this done in 15min tops. What i usually do is search and replace "twentyfourteen" with "my_theme", that will take care of all the custom functions and text domain for localisation. You need to do it with solid reliable software of course, but unless I'm forgetting something, it wouldn't break anything. What you are left with are just the comments and you can either leave them as is and delete/edit them as you go (you're probably not gonna use all files anyway). Or you can take a while to edit them all (and Pieter's search and replace would be a good starting point).
The CSS is actually the biggest problem I think, since you're probably gonna change the layout and classes/id's + there's a lot of code in there that your particular project probably wouldn't need. I tend to keep the Reset, Images and sometimes Repeatable pattern sections and work from there. You can always go back to the default twenty fourteen css file if you're missing anything.
I also like to clean up the functions.php and only leave in the functions I'll need. I think the main thing is, just grab what you need. Start with index, style, functions, page, archive, etc... + the includes and all of that. I usually don't need the post formats and such, you can get rid of a lot of files and lines of code that way.