One of the things I'm noticing is your use of Hyper Beam. While strong, it leaves you open for basically anything the next turn, the same of which can be said for any two turn attacks. There are even more reasons why it isn't useful on Raichu, Aerodactyl, Arcanine and Machamp: STAB. Persian actually gains from using it, whereas everyone else... doesn't. You're also probably going to need to relearn a few attacks here, too. :x
Anyway, going to to go through individually!
When it comes to Arcanine, Hyper Beam is no use at all, instead, you'd probably be better off with Extremespeed since it has priority, and when the opponent is faster than you, and you know if they hit first you're dead, so Extremespeed can ensure they die first, rather than you if it's a close battle. If you want, you could replace Bite with Flamethrower OR Sunny Day, if you intend to keep Machamp w/ Fire Blast since Bite doesn't really offer much coverage for what you'd be otherwise weak to.
Raichu isn't very useful with Dynamic Punch since there's a 50% accuracy, so you could try Brick Break, although weaker, it would still have the desired effect of a fighting type attack. As for replacing Hyper Beam, it's up to you, but it's better it is replaced - just make sure you don't replace it with Dig otherwise you'll end up setting yourself up for death against someone with EQ.
In terms of Aerodactyl, go for Wing Attack rather than Fly, because Fly is a two-turn attack and if someone uses Protect (unlikely in-game but still) and then something with priority, yeah you have no chance then, but it's still dangerous to use two turn attacks so beware of them. Hyper Beam can be replaced with Ancient Power since it's STAB, 100% accuracy, etc, so why not? You could always replace Bite with Flamethrower in order to beat Ice types that you're weak against, and since Aerodactyl has good speed, you'd be able to cover your bases there imo.
For Persian, Screech isn't useful since if the opponent switches out the effect ends. You could replace it with anything you don't already have coverage for, there's nothing in particular I can think of so that's up to you. Hyper Beam you can keep if you want but it's a double edged sword.
Machamp could also do with replacing Hyper Beam, but again that's up to you on what you want. Just make sure it's not something chance based, like Dynamic Punch (since no guard isn't @ gen 3) or risky like Focus Punch.
Good luck with your team either way. :)
