Opening:
1.
Eureka Seven AO OP 1 -
"Escape" by Hemenway
2.
Jojo's Bizarre Adventure OP1 -
"JoJo ~Sono Chi no Sadame~" by Hiroaki "Tommy" Tominaga.
3.
Tsuritama OP -
"Tsurezure Monochrome" by FUJIFABRIC
Honourable mentions:
Shin Sekai Yori OP, technically the anime doesn't have an opening but it does have a recurring track that's used as an opening in the early episodes. I would have definitely voted for it if it was used in a normal opening.
Endings:
1.
Shin Sekai Yori ED -
"Wareta Ringo" by Risa Taneda
2.
Jojo's Bizarre Adventure ED -
"Roundabout" by Yes