basically your little recipe kit uses pre-hopped malt extract. so you don't need to boil your stuff to get hop bitterness. boiling only serves to sanitize the wort.
however using pre-hopped kits...well you just limit yourself in a big way. as soon as you use un-hopped extract, you have to add hops, and you'll have to boil it for 60+ minutes to extract the bitterness out of them. this can still be done in small volumes...say 2 gallons, and then you add 3 gallons of cold water to get the final volume.
but if you ask me, the best beers are full boils. which means an 8 gallon stock pot and boiling 6.5 gallons of wort down to 5 gallons of finished product over the course of 60-75 minutes (recipes vary).
technically its a brew pot...not a cook pot.
Primary: English Mild
On tap: Pale Ale, Lancelot's Wheat, English Brown Ale, Steam Beer, HoovNuts IPA
Bottled: MOAM, Braggot, Raspberry Melomel, Merlot, Apfelwein, Pyment, Sweet mead, Cabernet
Gal in 2009: 27, Gal in 2010: 34, Gal in 2011: 13, Gal in 2012: 10