Here are some of the patterns I use to stripe people's lawns:
North-South Stripes
West-East Stripes
Southeast-Northwest Diagonal Stripes
Southwest to Northeast Diagonal Stripes
Circles around a tree
Slight Waves
V's (Start in the top left corner: Southeast down to the center of the yard, and then up to the Northeast
Checkerboard Stripes
Curves (starting around the mailbox)
Curves (going with the flowerbeds)
Wide Stripes (by going from one side of the yard to the other, taking a left and walking a few feet, then heading back across the left; work your way in) ***Picture below explaining it.