I was asked this today by one of the beginner level players in the club..
So, I'm sorry for being judgemental, I have a lot of respect for the pros commenting here, but from my experience many tips given here are useless for the players that actually need those tips.
There is a reason it's AMATEUR leagues are that are often dominated by pimple/anti players, and you need to help THESE guys. Nobody that can accurately vary their spin/hit ratio is asking these questions. It's the amateurs getting wrecked by shit they don't understand.
For example one tip is to do a 'baloon' topspin and then another one except this time against the super-heavy backspin they receive etc. What point is there in telling a beginner this?
There are also many suggestions to use no-spin long shots and serves, but this is also not good, because the anti-spin will return slight backspin to those shots too and sometimes short too if it's a dampening sponge, which is very awkward and difficult if you don't know wtf is going on. The most common mistake for beginners against antispin is driving the ball into the net, and these kinda tips will help them do that more.
So here are some tips that I think will help you if you're an actual beginner and are struggling:
1) Try using a short serve. Little underspin or no spin is good. As weak and short as you can get it. These are difficult to return properly with the anti-spin because you have to get under the ball, where the effect of the anti-spin works against the player trying to return the short serve. They can never give you a quality return with the anti-spin, but since they are also beginners they will usually use the antispin to answer all serves if possible.
This can cause them a lot of serve return errors and high/easy balls, or at least cause them to use the forehand, in which case you're avoided the anti-spin confusion.
2) AVOID! Just play everything to the forehand. Serves too.
In beginner levels, anti players tend to grow extremely dependent on their anti to return serves and difficult shots. So much so that more often than not they'll move to the forehand side of the table just to use the anti.
This doesn't mean you win the point, but you certainly have greater chances of winning if the player is no longer covering the backhand side of the table effectively.
Also, anti players tend to have very bizzare forehand shots. I dunno why this is, just an observation from years at the club. Not necessarily a bad shot. It's often incredibly spinny because they tend to use very soft blades, but still. More prone to error, which may probably increase your chances of getting a point.
3) Your topspins and also your non topspin, including your no-spin serves; whatever you do except for pushes, there's gonna be some degree of backspin on the ball you get back, because even your basic drives have a bit of topspin on them, including topspin generated by friction when the ball hits the table, and the anti-spin rubber will reverse that.
So simply remember that most of your shots are going to be returned with backspin.
So don't drive any ball you get back from the anti-spin rubber. Or at least not until you're sure you can read the ball properly and know there's no spin on it.
4) Long pushes to the backhand are very difficult for amateur players with antispin. With fast shots they can generally just put the racket there and absorb the ball with their speed-dampening effect and you'll be left with a ball that's very difficult for you to return (possibly a fast underspin ball etc). But with pushes it is more difficult for the antispin players to read the actual speed on the ball, so they will make more mistakes trying to return that.
5) Wait longer before hitting the ball, if possible.
This is in general is a good idea, but especially against anti-spin. The spin on their return is often greatly diminished since it's just your spin back, and air resistance and table friction saps away much of the spin by the time the ball gets back to you.
So the more you wait, the less spin there will be on the ball.
If all your drives are going into the net, you can either 'never drive the ball', or try waiting a bit longer. The spin may dissipate completely in many cases (if there wasn't a lot of spin in your shot that was returned by the anti).
Uhm.
So...
There ya go.
Dude from 2011. And dude from my club.