Almost all of my encounters were Normal types as well.
Route 2 (since there's nothing on Route 1) - Pidgey
Santalune Woods - Fletchling
Route 3 - Bunnelby
Route 22 - Azurill
Route 4 - Skitty
Route 5 - Furfrou
Route 6 - Audino
Route 7 - Snorlax
Glittering Cave - Kangaskhan
Route 12 - Tauros
I woun up constantly being stuck with Blastoise, Azumarill, Lucario, Kangaskhan, and Nidoqueen.