Speed-o'-Sound Sonic views Saitama as his eternal rival and vows to defeat him. Saitama views their one-sided rivalry relationship in a nonchalant manner. He doesn't mind Sonic's persistence and their continuous 'battles', even going as far as encouraging Sonic to do his best. However, he does grow irritated if Sonic starts to bother him during important activities or causes havoc around others.
According to Genos, Sonic is one of the few people who recognizes Saitama's true strength. This recognition is what caused Sonic to stop working and continue training in order to surpass Saitama. This recognition and dedication, as well as declaring Saitama a rival and admitting defeat at his hands, indicates (in his own way) a form of respect that Sonic has for Saitama.
Due to his obsession with Saitama, Genos despises Speed-o'-Sound Sonic. He also considers Sonic a rival and a reason to become stronger.
Sonic's relationship with Puri differs from his relationships with other heroes; while Sonic genuinely respects Puri's physical strength he otherwise thinks of him as a fool and a weirdo.
Due to Sonic killing all his followers Hammerhead despises Sonic.
Sonic holds a grudge against Sea King for their battle and desires to kill him. Ultimately, Sonic wouldn't get his revenge as Sea King would be killed by Saitama.