Most of the time, I'm going to be looking for Good and Unaligned characters. I need to pass a little scrutiny on a Lawful Good concept with my current group to avoid having one character constantly try to control the behavior of the rest of the group. Evil characters aren't allowed in the group without a solid write up that explains to me why this character is evil, what makes him tick, and how he can interact cleanly with the group.
Frankly, the plot angles I was running for this campaign required a certain amount of heroic altruism and a personal sense of duty / loyalty that I could count on from Good and Unaligned characters but not from most of the truly Evil archetypes we'd bring to the table.
From the player side of the equation, I played one Evil character in an ostensibly non-Evil campaign. I played an intelligence officer, ostensibly a ruthless sort of Neutral but in reality a cold-blooded Stalinist butcher. The monarch of the state was Good as were most of my team ("useful idiots"), but in my character's mind the Greater Good of the State made the lives and freedoms of enemies and bystanders alike irrelevant. I just kept up appearances, carried my weight on the team, and handled "what needed to be done" (mostly disposing of witnesses, potential threats, and disloyal types) during down-time scenes.
Chaotic Evil characters aren't typically germane to any sort of heroic plot of long-term campaign goals. Evil characters need special attention to avoid picking archetypes and goals that cause undesirable intra-party conflict, party-splitting, or spoil otherwise viable plot-hooks for other characters. Lawful Good characters can run across the same problems (conflicted loyalties, needing to control the party, spoiling shady plot-hooks) depending on the plot of your campaign and the details of what makes this particular character Lawful flavored Good instead of just Good.
- Marty Lund