Comment in subreddits without those restrictions for a bit. E.g. this list: https://www.reddit.com/r/NewToReddit/wiki/index/newusersubs/

I can see how it's frustrating, but the communities you're trying to post in are essentially offloading their moderation burden onto the big popular subreddits with low requirements -- if you can prove you're capable of posting there without getting downvoted into oblivion, you're probably going to be less hassle for the smaller moderator teams.