Alright, so I started my first Nuzlocke run on Emerald. Here is my progress so far:
1.

"Jill", Female, Level 13, encountered at Littleroot Town
2.

"Poochy", Female, Level 10, encountered at Route 103
3.

"Psy", Female, Level 11, encountered at Route 102
4.

"Dusty", Female, Level 10, encountered at Route 104
5.

"Shroomy", Male, Level 10, encountered in Petalburg Forest
6.

"Birdy", Female, Level 10, Encountered at Route 116
Notes:
1.I KO'd the Poochyena I encountered on Route 101 on accident, so I have no pokemon from there.
2.Via sheer luck, I encountered a Ralts with trace as the first pokemon on Route 102. Since it is my favorite evolutionary line ever, I cried a couple tears of joy.
3.I have encountered so many females as the first pokemon in the route(even my starter!) that it isn't even funny anymore. Poor shroomy-I don't think he's breedable with anybody in my party, so he will be....forever alone!
4.Badge #1 is about to be obtained.