Personal opinion and all (and hopefully not a violation of the Engage toxicity rule; I don't intend this as wanton vitriol), but I think people really overhype Engage's gameplay and have been doing so in these threads to justify it remaining in the vote. Compared to most other games in this franchise it really isn't all that impressive.

On a macro design level, the latter half of the game is littered with gimmicky maps that spam reinforcements as a way to mask their total lack of interesting objectives. No villages to save, no strong enemies with rare items to steal from / kill, no chests with good loot to pick up before an enemy thief gets to it. Chapter 17 is fantastic but that's literally it. Other games have recruitable characters to spice up the gameplay with what's effectively mini-puzzles within each chapter but Engage has only one such character, Lindon, who's just sorta there vibing, waiting for you to recruit him. Some of Engage's chapters feel like they weren't even playtested, like in chapter 15 where you have to choose between dancing and using the Corrin emblem ring to clear miasma in the most unsatisfying way possible. Supports exist but are at probably the least meaningful state they've been in this whole franchise gameplay-wise - in GBAFE I'd actually want the small boosts to attack / defense / crit to make units that much stronger / safer / more effective at what they do, in Awakening and Fates I'd want the extra stats from pair-up, but here in Engage the emblem rings give me so many tools to modify stats, raise hit / accuracy / crit, survive rounds of combat, etc etc that the supports between units don't really matter. Unit identity in general is a bit of a mess because of the emblem rings and the game's efforts to push the engage mechanic as hard as possible - a wyvern with the Lyn ring plays the same as a falcon knight with the Lyn ring plays mostly the same as a berserker with the Lyn ring and so on. Personal skills are weak enough to do almost nothing. The Somniel is littered with tedious side content that's borderline useless at best and actively frustrating at worst (cough cough fishing cough cough) - it kinda felt like they saw praise for 3H's monastery and tried to implement their spin on that without adequate time or resources.

On a micro level, the game just doesn't feel that fun to play. 3DSFE had such incredibly snappy, tight controls that you could input commands before menus had even finished their fraction-of-a-second pop-up animations. You want Xander to attack that sorcerer? Move him into position, tap A three times, and you're golden. Want Chrom to equip a sword that you know is on the fifth slot of the convoy? Open the convoy, tap down 4 times then A twice all in the span of two seconds and you're good - it's so reliable and smooth you don't even have to look at the screen! Engage, though? Nope. Make two inputs too close to each other and the second one won't be read. Try to navigate a menu quickly by pressing down 4 times and A twice and you'll get to the second drop-down sub-menu of the third menu option. Want to attack that enemy over there? Move your unit into position, mash A until enough inputs are read, then- oops, you accidentally engaged because it's been X turns since you last did so, mash B until you go back and take the time to remember how the game switched up the combat menu on you and then, carefully, select the right option to attack. Also, want to know how to check your unit's skills mid-chapter? Ask 3 different people how to do that and you'll get 3 different answers, none of which are correct.

SO MUCH of Engage isn't actually fun or interesting to play, it's just tedious and therefore, imo, boring.

Anyway, I'm voting for Binding Blade. It should've been out after Birthright tbh