My favorite depiction of Lex was in Lex Luthor: Man of Steel
That's a very good one. I will flip it and say I don't like any depiction of Luthor where he's a chump. (Viewed as sleazy, overweight, anything like that). Not because I like him & want him to be cool, but I think as a villain he's best when Superman (/the other heroes & Lois/Jimmy/Perry) is the only one who sees him for what he is. The public needs to see him as this handsome, generous, brilliant guy who's bettering the city. It makes it all the much harder to combat him. (This is assuming he's "in the closet" as a villain - pre becoming the president & going crazy trying to take out Superman & Batman).
I like Lex to be a businessman genius. I don't want him to be too much of a super genius. Hate him in the armor. He should only have that for very very desperate times. I also don't want him to be too much of a businessman either.
Red Son, Total Bad ass and its so funny. A funny inside joke is when he tells jimmy that he and Superman would be friends if he was born over here. Besides that this version was a better strategist than Batman considering he set out a plan over decades.