Alright then, scratch the terms "slushbox" and "stick". Okay.
But... for the point of simplicity:
Would it be better to just classify them into two main/general categories:
"Automatic" and "Manual"???
Err, it is not "better" just clasify them into automatic or manual, since an "automatic" tranmission can have a manual mode & a "manual" transmission can have an automatic mode.
For a "simplified" classification, it can be stick or non-stick.