Hey, @Mihnea20073! Welcome to Shopify Community!
It sounds like you haven't activated the markets involving those missing countries in the Shopify Markets area in your admin. Besides adding them to the shipping zones in your shipping profile, you need to activate the countries you ship to in the Settings > Markets page to enable customers to select those countries at the checkout. You may head over to that page and check if the countries say Inactive such as in the screenshot below.
If they are inactive, you may click Manage beside each country and click Activate market to activate it.
Feel free to give that a go and test your checkout to see if it fixes the problem.
If it doesn't resolve the problem, it's best that we take a look at your checkout and settings to pinpoint the cause and advise a solution. We’re not able to provide account-specific support via the Shopify Community at this time, but we’d be happy to continue assisting you through live chat, email, or callback. Please visit https://bit.ly/3cJkx8V and log in to your account to create a support request.
After visiting the link and logging in, you'll be prompted to enter the topic of your concern so we can connect you to the right articles and support team. Simply type in the topic, click Search then scroll down to the bottom of the page to click Continue under Get Support. You'll then see the option to create a support ticket on the next page.
Is this your first time selling and shipping internationally? If so, you might want to look at our guide on international selling. While opening your store to markets outside of your region can simply be done by configuring your shipping settings and your market settings, this is only one step in setting up your store to cater to international visitors. To ensure success, there are other steps you need to complete such as finding the optimal payment method and localizing your website. To learn more, you can go over this guide.
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