Positive things about New Who would be the following.
Charismatic and engaging lead actors for the most part. Eccelston, Tennant, Smith and Capaldi all good choices for the Doctor (even if the writing sometimes let them down or A LOT in Capaldi's case).
All also had great chemistry with their companions too (apart from Tennant and Rose who were a schmoopy couple and Capaldi and Clara who had 0 chemistry)
The run of episodes from series 3-5 is brilliant. A few duds along the way sure, but I'd consider that a high point in the shows history.
Series 5 is also one of the top individual series of all time in either new or old who.
Amy, Rory and 11 as good a companion/Doctor trio as Pat, Jamie and Zoe, or Tom, Harry and Sarah.
The Daleks were very well handled in the RTD era at least. They were written as the most powerful, dangerous and personal of the Doctors enemies.
John Simm's Master, though his stories weren't great (Utopia and The Sound of Drums are amazing, it all just falls apart in the last ep Last of the Time Lords with the AWFUL Jesus Doctor) I liked his performance and the characterisation of the Master was spot on, yet updated for a new audience.
50th anniversary special which is still one my favourite episodes (though its tarred a little by knowing what came after, Capaldi's eyes, and the finding Gallifrey story arc, was such shit and that Doctor Who thanks to the SJW's influence went from being a global phenomenon to a virtually dead brand in like 3 years. Hint; hint Marvel don't go down that road.)
Sadly however the Capaldi era is so earth shatteringly crap that at times I almost wish the show had never come back. In the past the good qualities of New Who for me always cancelled out the bad, but the likes of Cyber Brig, Pissy Missy, the Hybrid prophecy, Rassilon being a pussy, the Doctor being alive for 6 billion years, make me wish that this crowd had never got their grubby little mitts on our favourite show.