What would a "best of" collection for NuWho look like to you?

I'm not sure you could do 5 different Doctors justice in 15 episodes, even though two of them had just one season each. Plus I wouldn't want to include certain episodes that didn't make sense outside of a larger arc (Heaven Sent, for example).

I guess I'd pick four strong episodes for Doctors 10-12, one episode each for 9 and 13, and make Day of the Doctor the 15th one.

Ninth - Dalek

Tenth - School Reunion, Blink, Silence In The Library/Forest Of The Dead

Eleventh - Eleventh Hour, The Pandorica Opens/The Big Bang, The Doctor's Wife

Twelfth - Listen, The Pilot, World Enough and Time/The Doctor Falls

Thirteenth - The Woman Who Fell To Earth

Bonus - Day of the Doctor

If I were to pick episodes based on their episode number, this would be my list.

1. The Impossible Astronaut

2. The Fires of Pompeii

3. Rosa

4. Before the Flood

5. The Angels Take Manhattan

6. The Doctor's Daughter

7. The Idiot's Lantern

8. Father's Day

9. The Empty Child

10. Blink

11. The God Complex

12. The Pandorica Opens

13. Journey's End

Special) The Day of the Doctor

Christmas) Voyage of the Damned

If I were to pick any episodes, this would be my list:

1. The Eleventh Hour

2. The Time of Angels

3. The Pandorica Opens

4. Rosa

5. Thin Ice

6. The Empty Child

7. The Doctor Dances

8. Empress of Mars

9. The Impossible Astronaut

10. Day of the Moon

11. The God Complex

12. Hide

13. The Angels Take Manhattan

14. Under the Lake

15. Before the Flood

1. Father's Day

2. The Girl in the Fireplace

3. Blink

4+5) Silence in the Library/Forest of the Dead

6+7) The Pandorica Opens/The Big Bang

8. A Christmas Carol

9+10) The Impossible Astronaut/Day of the Moon

11. Day of the Doctor

12+13) Heaven Sent/Hell Bent

14+15) World Enough and Time/The Doctor Falls

Or with multi parts counting as only one

1. Father's Day

2. Bad Wolf/The Parting of the Ways

3. The Girl in the Fireplace

4. Blink

5. Silence in the Library/Forest of the Dead

6. The Pandorica Opens/The Big Bang

7. A Christmas Carol

8. The Impossible Astronaut/Day of the Moon

9. Day of the Doctor

10. Time of the Doctor

11. Deep Breath

12. Dark Water/Death in Heaven

13. Last Christmas

14. Face the Raven/Heaven Sent/Hell Bent

15. World Enough and Time/The Doctor Falls/Twice Upon A Time

Rose

Dalek

The Empty Child

The Doctor Dances

Blink

Utopia

Silence in the Library

Forest of the Dead

Midnight

The Eleventh Hour

Vincent and the Doctor

The Day of the Doctor

The Doctor's Wife

Flatline

Heaven Sent

Mostly my personal favorites.

I could only really narrow it down to 25, but here they are:

The Empty Child/The Doctor Dances

Human Nature/Family of Blood

Blink

Utopia/The Sound of Drums/Last of the Timelords

Silence in the Library/Forest of the Dead

Midnight

Turn Left

The Stolen Earth/Journey’s End

The Impossible Astronaut/Day of the Moon

Day of the Doctor

Heaven Sent/Hell Bent

Extremis/Pyramid at the End of the World

World Enough and Time/The Doctor Falls

Rosa

It Takes You Away

If I have to choose one-shot episodes, to have a good preview of the show and its potential, I would say :

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The End of the World

The Empty Child/The Doctor Dances

Gridlock

Blink

Silence in the Library/Forest of the Dead

The Eleventh Hour

The Beast Below

Vincent and the Doctor

The Doctor's Wife

Mummy on the Orient Express

The Girl Who Died

The Pilot

World Enough and Time/The Doctor Falls

The Woman Who Fell to Earth

It Takes You Away

[deleted]

obviously include the debut episodes for all 5 new who doctors, and I reckon the 4 deaths too, as well as the episodes before for those who died at the end of an arc.

the 50th anniversary gets in free because of the significance lore-wise.

from there, you go for the best villain vs villain matchups (doomsday and the last pandorica episode)

together you should have 5 debuts, 7 episodes related to death, 50th and the 2 episodes above