What can I use instead of paddle attachment for a stand mixer?
For some brands of stand mixer, the paddle attachment is the sort of default attachment for basic mixing, and for creaming.  It does not excel at whipping egg whites, or stiff bread doughs, but these brands come with a separate whisk attachment for that purpose.

Of the two sets of beaters pictured in the image you have shared, the ones in the machine are your standard beaters.  You would use them for almost every task--they are general purpose, although perhaps not ideal for everything.  This includes mixing, creaming, and whipping egg whites or whipped cream.

The kind of corkscrew shaped ones are intended for kneading stiffer bread doughs.