Hmm, I apparently like my negative cards to give off a very specific vibe.
Three of Swords - I prefer something more than the whole three swords in a heart thing. I love the Three of Swords in the Shadowscapes deck. The Urban tarot has another great one. Let me see if I can think of one I don't like... Hmm. Not a huge fan of the Three of Swords in Moore's Steampunk Tarot. It's the usual RW symbol, but clockwork.
Ten of Swords - I need the card to actually evoke emotion in me. The Ten of Swords in the Steampunk Tarot doesn't do this for me (though I do otherwise enjoy that deck). Shadowscapes is...not wonderful, but pretty good. The card in the Urban tarot is great, as is the one from Tarot of the Silicon Dawn. So...body with swords sticking out isn't my thing, but I still want to have a visceral reaction to seeing the card.
The Tower - I have no idea why I care about this card so much. I don't think I've even ever drawn it. Even so, I prefer my Towers to be thoroughly messed up. I don't want a little fire at the top. There should be some serious damage to whatever the tower is represented by. Shadowscapes does this well...though my favorite Tower card is from the, uh, Homestuck Tarot. From that web comic. The card depicts basically the end of a specific character's arc, but it clicks with me so well. Which also saddens me because I don't read with that deck.
I'm particular about the Fool, but I have no idea what makes me like one version over another.