Not sure what your understanding of the "standard controller" is, so apologies if this is repeating what you already know.
The Wii comes with one Wii Remote (or Wiimote for short) and one Nunchuk, as per photo below.
		
		
	
	
As already mentioned, for Wii Sports the Wii Controller (the one on the right in the photo) is more important than the nunchuk, as you'll only need the nunchuk for the boxing game.
If you're gonna be playing a lot of Wii Sports (which everyone does to start with 

) then think about getting sufficient Wiimotes rather than worrying about getting the Nunchuks too. If it came down to it, I'd get 2 Wiimotes over 1 Wiimote & 1 Nunchuk.
Prices for the Wiimotes alone are about £25. However, for £30 you can buy Wii Play which is a collection of fairly average mini games but it comes with a "free" Wiimote... so the actual game only costs you a fiver (which is probably all it's worth, tbh).
The Nunchuk, I believe, is about £15ish... can't really remember.
However, if you're planning on playing other multiplater games, e.g. Rayman Raving Rabbids, then you'll need a Nunchuk as some of the minigames require it. So, if you're getting any other games straight away, have a look at the back of the case to see what controllers it uses. 
Hope that helps 
