Character arcs? You were expecting serialisation? Is this Lost? Probably for the best it isn't...
Some characters like Splinter pretty much stay the same all the way through however some change.
Leo - starts as a overconfident but becomes insecure as the series goes on yet it proves to himself he's not perfect.
Raph - starts off as a joker who doesn't care much but by the end of the show he becomes serious about what's going on
Don - not much change. Don's inventions became much more reliable and less reckless as the series went on. He also questioned his heritage more.
Mike - over time matures and becomes more used to his environment and it's challenges.
Shredder/Krang - start out hating and trying to get one over each other. By the end of the series becomes frenemies.
Bebop/Rocksteady - get more used to being mutants.
Baxter - unfortunately his memory deteriorates with every returning encounter. Poor guy.
April - starts off looking for a hot story but by helping the TMNT realises she can help save the world, by the end of the series she's pretty much independent of even the TMNT.
There's probably more. Andrew not sure if you're trying to troll, I'll let the mods decide but if you have it's failed as the above shows there was actual character arcs.
So you really didn't watch the series did you? I see...
What I'm worried about is you gave this more serious thought that Andrew probably expected i.e. you took it seriously but kudos for doing so.