Under the current Texas rules, you can't register a new title for a replica now and get antique plates. Mine is titled as a 2017 Assembled Vehicle under the Custom Vehicle - Replica category. By getting the Custom Vehicle plates, I am exempt from the yearly inspections. You can get vanity Custom Vehicle plates but they are only 6 characters. I did have to get a safety inspection from a ASE Certified Master Mechanic that is over and above the yearly $7 inspection. When the vehicle is sold, it will have to go through another safety inspection before the title can be changed.
If you have an existing title, either Texas or another state, it falls under the normal rules and you can get normal plates or vanity plates and also you can get antique plates or classic vehicle plates as long as the title states it is 1965 or 20 years or older.
I'm still sorting my car out and not comfortable going any long distances yet, especially at night.
Russ