Hydroxyzine, a first generation antihistamine, has been shown to be as effective as benzodiazepines without excessive sedation or addiction or withdrawal. It is commonly used in detox facilities to help manage anxiety and I can tell you that personal experience shows that it actually is one of the few things that truly does more than placebo for me. It is also the only antihistamine that I can tolerate besides it's active metabolite, cetirizine (Zyrtec). Almost no side effects.
Gabapentin is commonly used in place of benzodiazepines. I didn't like the stuff and I've heard the addiction and withdrawal can be just as bad as benzodiazepines themselves but it is effective for a lot of people and doctors hand the crap out like candy unlike benzodiazepines.
Pregabalin is in the same class as Gabapentin. I found less side effects from it but it's expensive and I needed a really high dose, it also had a euphoria that I found myself chasing so if you have problems with addiction, I recommend avoiding it.
Phenelzine is worth looking into if you can stick to an MAOI diet. Out of all the MAOIs, phenelzine actually has a metabolite that actually significantly increases GABA levels in the brain. For some reason the metabolite itself was never marketed but phenelzine is said to be the most effective antidepressant for anxiety by far due to that metabolite. My psychiatrist was not comfortable giving it to me because of my sensitivity to medications and the reactions that I've had.
There are other meds out there that can be effective for anxiety but carry way too many side effects to take them just for anxiety. These include Depakote (divalproex sodium), Zyprexa (olanzapine), and Tegretol (carbamazepine) which all have been effective in anxiety reduction but have some pretty heavy side effects so I would stay away from them.
Something that is readily available that works for anxiety is phenibut. No prescription required, no sketchy gray area stuff. The problem is that it builds tolerance rapidly and it is an agonist at GABA-B which is known to have nasty withdrawals and can cause dependence very quickly. It works extremely well, however, you just shouldn't use it more than 3 days in a row followed by at least 2 days off to minimize the addiction risk.
There are a bunch of obscure Russian drugs like afobazole that are said to be good for anxiety. I have only messed with one, picamilon, and it threw me into a state of benzo withdrawal both times I tried it so I tossed it.
There are tons of these bandaids out there but you have to be careful. Things that are anxiolytic tend to have action directly or indirectly on GABAergic systems and can all end up in GABA down regulation which is what causes so much nastiness coming off of them. If you can avoid relying on a chemical to kill your anxiety and instead focus on cognitive behavioral therapy, physical fitness, diet, etc, you can fix the problem before it blows up in your face in the form of a serious addiction or nasty side effects that so many of us on this forum and elsewhere have experienced and live with. Trust me, you don't want my life or the life of anyone who got caught up in the cycle of misery that is medicating and medicating to try and stay ahead of the hell that inevitably awaits us.