There are a few.
Overall its winning a trophy, but even if we didnt I would support him if he :
Stopped persisting with players that are not good enough for too long.
Coached his team to cut out the stupid mistakes that happen time and time again - I am not talking about the mistakes that can just happen once or twice, but the failure to get the absolute basics right again and again and again.
Had a strategy going into games against better opponents, instead of just 'seeing what happens' with the same tactics he always uses.
Ensured that we have a strong squad, and are not so destroyed when we get injuries.
Stopped the excuses before and after games
Consistently motivated his team to put in 100% effort every game.
Got a defensive coach to help him with a part of the game he clearly does not understand that well.
Had a plan B during a game if it is going wrong for us
Told the players to stop trying to walk the ball into the net
Cut out the boring sideways and backwards passing game - fine occasionally to relieve pressure but we seem to spend half the match doing it.
Just a few
To deal with your criticisms:
1. Arshavin is the only one in my opinion that falls into this category - can't understand it either.
2. Dont agree with this. Everytime we let in a goal, some wag says that we didn't get the basics right, but mistakes happen. Every goal scored is a mistake of some sort.
3. I don't think you really know this. This is a huge assumption. How do you know what his tactics are?
4. No team can win with injuries like we have. Even Mancini was bleating about being short of players and he has fewer out than we do.
5. When you are asked what is wrong, and why did you lose, anything you say in reply is likely to be considered an excuse. This one is weak.
6. Again, saying the players don't give 100% is just wrong and I think a little malicious. I don't see signs of his at all. If anything I think a few players have tried too hard and got winded.
7. He has many defensive coaches. Really don't get this.
8. This plan B stupidity again. What is this plan B rubbish. If you buy players for a 433, you train players every day in a 433, why in the world would you think they could do better in a 442? This doesn't even work in Championship Manager any more.
9. Does he do this? Please show me the quote?
10. Havent seen the manager play a single pass all season.
I think it still comes down to you thinking you could manage the club better, based on a financial situation you are guessing at, and tactical instructions he has given, which you are also guessing at. But you only think that because you don't like the results he is getting.
What is interesting is that you are not alone. The average Arsenal fan, despite it being utterly crazy that they would be able to manage a football team, and a football club, believes that they could do both better than a man that even other managers say is one of the best, and a board that are running a club that everyone says is one of the best run, most financially sound football clubs in the world.
This despite the fact that most of those fans don't have the coaching qualifications to manage a team of 13 year-olds and don't know the fundementals of corporate finance. The 'mob' mentality gathers credentials and strength from numbers, not the voracity of the argument, nor their qualifications, or the weight of evidence.
I will accept that Wenger and the board are not winning trophies and I would like them to do that. However, I don't know whether it is reasonable for me to expect trophies, or not. I am a qualified football coach and a referee, and I have worked in finance, but I don't feel qualified to judge Wenger, because I just don't know enough facts.
All I can tell you, is that if the teams I coached did exactly what I wanted them to do, only half the time, I'd be manager of England right now. And if all my investments in people, or the market, worked exactly the way I thought they would, only half the time, I'd be Bill Gates. You are in error if you think that the star players you would sign, would automatically be successful, or that the money you invested in them would make the club stronger, or that tactics would work out the way you would like.
(By the way, I am not Fabio Capello, or Bill Gates)