Biggest advantage for the modern Doctors over the classic Doctors was/is in the fabulous sidekicks in the modern versions...
Just my favorites (in order) from each era...
Classic:
Sara Jane Smith
Leela
Romana I
Sally Morgan
VS
Modern:
Amy Pond
Rose Tyler
Clara Oswald
River Song
Martha Jones
Donna Noble
I retain a crush on Dr. River Song. She and my first wife could pass for twins. There was a series spin off with Sara Jane Smith. I wish that could have run longer, I liked Sara Jane . Rose then Amy are my favorites inthe modern era.