You can use the entity exporter/importer which is accessible on each entity’s page under the “More” menu (IE: Shots, Assets, Notes, Versions pages, etc)
First I would recommend setting up your new project to match the desired project template if they are cross-site. As I mentioned, this is a bit of a manual process. Once you have your pages/fields/statuses set up, you can import your data.
After your pages are made, you go to the site where you would like to export your data from. On each entity page, open up your filters to capture all relevant entity data (this may be “Clear All Filters” on the filter panel so you capture everything). Then you reveal all field columns for any relevant data that you would like to export. Make sure you have your page results in the bottom right set to the lowest number for quicker page loading. Once the page reflects the data you want to export, you go to the “More” dropdown menu on the page and select
Export all (entity) to Excel (CSV).
That will spit out a spreadsheet that you can then take to your new site’s project, go to the matching entity page, and then select "More >
Import (entity)". Then it walks you through how to do that.
Do this for each active entity page on your projects. It’s time consuming, yes, but will get you where you need to go.
Let me know if you have any further questions!