Runway 31: If it is really windy the day you are coming (and it is very windy at LGA a lot) you will, most likely, come in on 31. The 31 approach really has no views of NYC or anything that might be of interest. Although you might see Shea Stadium when you are on final, but then again who wants to see a purple stadium?!!!
Runway 4:If you are coming into runway 4 you want to be on the captian's side of the aircraft. You will come along the East river with great views of NYC
Runway 22: If you are landing on 22 you will come along the Hudson river and come over NYC uptown
Runway 13: Chances are you wont land on 13. It is rare that 13 is used for landings