I was going to just put my additions but it might be best if I list everything. Take a deep breath : -
* Anne Robinson droid (the beginning of the 'let's use Nu Who to advertise other BBC products shamefully' era, which accelerated in Moffat's era)
* Murray Gold's score in most adventures
* Big red button
* Cassandra saying "ask not" instead of "arse". Carry On Doctor!
* Tennant & Wose turning up for most adventures giggling & taking the piss like a couple of loved-up students after a night on cheap alcopops
* Peter Kay's alien
* 'Scooby doo' chase
* The child acting in Fear Her
* Huw Edwards' acting in Fear Her
* The BBC shamelessly promoting its forthcoming Olympics coverage in Fear Her
* The Sound Of Drums/Last Of The Timelords
* Adipose
* Wilf saying he's not allowed to have a webcam because they're naughty
* Catherine Tate
* The End Of Time
* Rings Of Akhaten - particularly the "Come ON then!!!" speech
* Anything involving River Song
* Day Of The Doctor
* Name Of The Doctor
* The start of Deep Breath
* Most of the Robin Hood adventure (except Ben Miller)
* Moon as an egg (Nu Who science at its absolute worst, among its other failings)
* Forest of the Shite
* Death In Heaven (oddly the episode was such a mess that I don't remember Cyberbrig particularly standing out when I watched it)
* The s9 Dalek two-parter
* The s9 Viking episode (particularly 'he speaks baby' and the ZZ Top/Noggin the Nog scene!?)
* The Zygon Perversion
* The original and half-decent Heaven Sent being ruined by Clara's reappearance, Capaldi moaning "I'm sooooo lonely!" and punching the diamond for gazillions of years
* Capaldi's guitar & sonic shades
* Capaldi's Doctor keeping going on about social media
* Clara's voice, dialogue and personality
* Missy (Michelle Gomez was about 10 times more restrained in s2 of Gotham, which is saying something)
* Me being called Me
* Me & Clara in the Diner TARDIS
* The Timelords being useless
* The Timelords spitting all over the place (Timothy Dalton)
* The Timelords changing sex when shot
* Everyone dying and coming back again
If we're including Torchwood I nominate the sex gas/monster, everyone being 'bisexualised', the Cyberwoman, Barrowman getting locked in his own base, the camp & ham-acted end to s1, Captain John just being a poor man's Spike from Buffy, Barrowman suddenly 'remembering' he's got a brother in s2, and all of Miracle Day.
P.S. Please forgive me if this list keeps being updated, there's just too many offensive things about Nu Who...