Based on my thoughts on the Executioners' Chapter Tactics, I wanted to put together a list to try to accentuate their strengths. Here's what I came up with:

Chapter Master w/ power fist, Shield Eternal, artificer armor, bike

High Chaplain Thulsa Kane

6 Assault Terminators w/ 5 thunder hammers and storm shields, 1 pair of lightning claws
Land Raider Crusader w/ multi-melta



10 Tactical Marines w/ flamer, heavy bolter
Rhino

10 Tactical Marines w/ flamer, heavy bolter
Rhino

Stormraven w/ multi-melta, assault cannons, hurricane bolters

Predator w/ twin-linked lascannon turret, lascannon sponsons

Predator w/ twin-linked lascannon turret, lascannon sponsons

Total: 1,850 points

It's certainly not the most balanced list, but I think it will present more threats than many lists can deal with. The Chapter Master, Thulsa Kane, and the Assault Terminators act as a fast and very dangerous assault threat, while the Predators take out any enemy armor. The Crusader and Stormraven can engage armor, but they'll deal with hordes of infantry thanks to their  assault cannons and hurricane bolters. The Tactical squads are designed to stay safe and prey on weak enemy infantry. Their flamer and heavy bolter also provide them with the best Overwatch defense in case they are charged.

I'm not sure how well it'll work, but it seems like a blast to play (I miss assaulting things). I do think many armies will have trouble dealing with so many heavily armored targets, as well three very dangerous assault units.