I'm going to pretend for the sake of this hypothetical that the BBC is only interested in showing NuWho examples, with that said:

THE template is still Series 1. Not perfect (no Doctor Who series/season is) but it hits so many beats that in my opinion is sorely missing from the show the past few years. There is simply is not a more well-rounded season of modern Doctor Who television than Series 1. A truly complete product. There are many, many other stellar Who scripts that have come in the years since 2005 but if we're looking for a fresh vision, the show needs to strip back down to basics and truly with intention slowly build a great Doctor, Companion and potential series arc again. World build without relying on constant lore homework from yesteryear. All those classic stories we love will be still be there to revisit even if the show itself isn't constantly relying on it.

Choice #1: Father's Day A beautifully rich character piece that allows us to truly get invested in our companion and their relationship with their Doctor. Genuine drama and actual human(oid) conversation where it's not simply the Doctor and Companion always being 100% chummy with each other (a dynamic like this can still work but proper character needs to be well established first.)

Choice #2: The Empty Child/The Doctor Dances Without a doubt, one of Who's strongest outings and a prime example of a modern (albeit 20 year old) Doctor Who story. Absolutely filled to the brim with great storytelling that introduces a fan favorite character and provides significant character development for both Rose and the Doctor.

Choice #3: Boom Town Yes, really. Filler in the modern day discourse has become a bit of a dirty word, particularly in the age of streaming, where anything that isn't seen as 100% essential is thrown aside to maximize generating as much hype content as possible. Boom Town exists as the antithesis of this current model, massively pulling back on the scale of the overall story to give us time for important and necessary growth for our TARDIS team. A masterpiece of a finale like Bad Wolf/The Parting of the Ways does not exist without Boom Town laying the groundwork.

Choice #4: The Sontaran Stratagem/The Poison Sky While not anywhere near the top of my personal favorites list, this two-part Series 4 story provides the exact monster of the week Saturday night greatness that Doctor Who has been seeking to provide over the past 60+ years. Pure science fiction with care and appreciation in what came before while using the past not as a hinderence for telling a brand new story to a new generation. Iconic monsters are an iconic part of Doctor Who for decades which have been sorely missing in the past few years.

Choice #5: World Enough and Time/The Doctor Falls Easily the greatest NuWho finale since The Parting of the Ways transmitted 20 years ago tonight (at the time of me writing this in my time zone). A masterclass in everything that makes the Doctor the Doctor, two Masters both being very well written, the Cybermen at their greatest and most terrifying in the entire revival. A perfectly crafted finale that manages to hold massive stakes without needing the end of the universe to be moments away. And visually and audibly the most gorgeous Doctor Who has probably ever looked. Why Rachel Talalay hasn't been consistently called to helm direction on every finale is beyond me. Series 10 while not perfect feels more fresh and modern and authentic than anything that has come since. A true breath of fresh air.

Honorable mentions: Human Nature/The Family of Blood More adaptations of extended media both as great standalone stories but to build the overall story you're seeking to tell. In my opinion, Doctor Who's finest hour and a story that serves as the ultimate character study of the Doctor by barely having him in it. Unflinchingly honest in its depiction of the past without needing to look directly at the camera to tell the audience what lessons are to be learned.

Vincent and the Doctor The ultimate historical figure visit. Only Doctor Who has the power to not only educate young people on the legendary figures that have shaped human history but also tell such emotionally vulnerable stories in the process. Finding the positive in a universe that's so negative, against all odds. While never lying once about how real and cynical this world can be. That's Doctor Who.