All of those would be fine with cories, so breathe a sigh of relief!
What size tank are these plants for?
Amazon swords are great, can grow huge, root deeply, and are greedy root feeders. Crypts are also greedy root feeders when given the chance, so you definitely want some root tabs for the sword(s) and crypts, so they grow well and get those roots down and established. Would be worth giving them, and all the plants really, at least a couple of weeks to begin rooting properly before adding the cories.
But it's amazing how much growth they can put out in a week. I like to take photos each week when setting up a new tank, just to see how much they perk up and grow in a short time. It helps when I'm feeling impatient waiting for it to fill out, since seeing it daily makes it harder to spot, but compare a photo from the previous week to the next, and the differences and amount of growth/perking up are much clearer.
Crypts are a wonderful plant species! While they are greedy root feeders when given the chance, they're also hardy and forgiving, so even without root tabs they'll usually take enough nutrients from the water column to steadily grow and hang in there. They'll just grow better, bigger and faster with the addition of root tabs now and then.
They can grow pretty elaborate root networks which produce more and more baby plants, or that can be split and planted elsewhere as the plant gets bigger and produces more offshoots.
There is a thing to be aware of with crypts though, especially when transplanted like when you buy one and plant it in a new tank. There's something called "crypt melt", where your beautiful new crypt just melts away to nothing, and people think it's dead and chuck the remains. Don't! They do it sometimes (but it may not, they don't always melt back) because they'll grow back just from some roots, so leave the roots and wait for those first new leaves to emerge if you do experience crypt melt.
Buces, anubius, java ferns and all the other rhizome plants like bolbitis aren't a problem with cories. Ditto mosses, floating plants etc, since they're not planted in the substrate (the rhizome must not be buried, or it'll rot and kill the plant), so are usually attached to hardscape, or poked into holes in the hardscape and can establish themselves there. All good choices, low maintenance, easy beginner plants.
Oh, any bulb based plants also fine with cories. Crinums, lotus... um, can't think of any other bulbs right now, but there are others, haha. But those are more secure and usually root pretty well too.
When you say stem plants, which do you mean? If you mean fast growing stem plants like elodea, hornwort, water sprite, guppy grass, limnophilia sessiliflora etc, then they'll also be fine with cories, since they're fine with floating or being planted, and some root more easily than others, but aren't delicate plants that'll struggle if the cories knock them about like my poor little ones I cried about above, lol.
The ones I'd avoid are more the expensive, harder level and delicate plants, like carpeting plants... But any plants you're interested in are worth checking out on the Tropica website, which gives more info about difficulty level, whether it'll require CO2 or high lighting, and Tropica often have videos about different species too.
I love this one, and recommend it a lot, I miss having it! I kept growing mine into a dense hedge around the sponge filter to hide that from view, and the fish and shrimp love this plant too. I love the way it changes colour and looks like fluffy clouds as it reaches the surface
Oh, make sure to add some kind of floating plant to your list. Anything but duckweed, avoid duckweed like the plague, and be merciless if any appears in your tank and remove every trace. It's a nightmare. Anything else is okay, anything but duckweed! (can you tell I hate duckweed? I really, really hate duckweed!)
and it got worse and more pathetic until the last ones died.
