In Spider-Man 1x06: "The Sting of the Scorpion", Peter says he has not yet met MJ, but he meets her at the end of 1x03: "Return of the Spider-Slayers". He is also with Felicia and she agrees to a date this episode, and her first appearance is in 1x02. Very confused.
EDIT: In 1x03, I swear I heard Spidey say "8 months ago" when referring to when he first defeated the Black Widow Spider-Slayer. So I think the order goes 1x01 —> 1x02 —> 1x06 —> 1x03. Given it's 8 months, that probably places the rest of the season from either late 1994 or sometime in early 1995, almost a year before season 2.