Wasn't it obvious that cage=kitchen was a joke? It just got in my head from playing Epic Battle Fantasy 3 - heroes there sometimes remark about it when female lead get in trouble.
My favorite combo is Bertha with launcher and Barbarians with nets and throwing axes. Together they can obliterate nearly anything, flyers included. To round it up, Sorcerer with golem is good - it helps a lot with tricky enemies like area damagers etc.
It seems I was too optimistic about chances of no wing/death conduct. I played 6 games, and succeeded only twice. Which is still pretty high chances for roguelike.
It's mostly boils to whether you find adequate weapons in chests and shop as you go. If you can't kill most enemies in one or two hits. If you don't, you will burn through your hp and potions in no time.
Unless you are extremely unlucky, it is completely possible to do all 100 floors in a row, without dying or winging. I just did it two times in a row, and it would be three, if I'd not forgot to chug a potion at one moment on 90+ level.
In short, my strategy is to max attack, avoid those enemies I can't one-shot, and buy out all or nearly all healing potions in shop.
Some suggestions
1. Auto-use of wings on death. Player rage-quitting is not generally a good thing in flash game.
2. Streamline item selling in shops.
3. Add some useful things to buy in shops. Magic, may be.
4. Let use attack spells from afar. As they are they are nearly useless.
5. Mouse over to see monster stats, mouse click to come and attack it (or come and pick up something).