There is no magic bullet that solves this question, but there are several concrete things that you can do.
First, review and compare your new site with your old site. Look specifically at the number of Posts, Pages, Comments etc. Look for discrepancies in the numbers. If there are 1601 Posts with 48 drafts and 3 Trash items on your old site and there are only 1232 Posts with 48 drafts and 3 Trash items in the new site, then something is missing!
Similarly, click around through your new site randomly. Maybe set a number of posts to randomly review. If you have 4000 posts, maybe you choose to sample 10% of your articles, by randomly clicking and opening 400 posts. Look for problems, look for missing posts, look for broken or missing images.
If you find problems, document them in a list and try to find a pattern in the discrepancies, then work to solve it.
If you find that you are missing content, simply upload your import file (the file you downloaded from WordPress.com) back into your new site. Sometimes the importer can stall out due to internet connections or a server problem or lots of reasons. It is designed to ignore the posts it already imported and only import in new items.
If you do run the import again, beware that the importer also imports Menu items, and the menu item importer is not as smart. It might import duplicate menu items, so if you run the importer more than once, you may need to clean out duplicate menu buttons in your Menu Customizer (wp-admin>Appearance>Menus)
← How can I possibly be able to check if all of these have been transferred accurately from wordpress.com to the new managed wordpress site on Godaddy? I have many posts, pages, long site maps and menus.