Out of curiosity, how would you work Doomsday onto a team that doesn't come in last place? I spent the day thinking about it and...well I don't have enough comics knowledge to come up with much of anything. The closest I could get would be a one-shot alternate universe set during Civil War:
Tony & Reed, having already gone rather...psychotic during the plot, go even further and create a wretched monstrosity to brutally force compliance. And then everyone dies shortly afterwards, because of course they do, there's no version of "we create and/or enslave something called Doomsday to destroy our enemies" that doesn't end that way. But, your line about building the entire team around him, makes me think you had at least half an idea to work with?
If you want Doomsday on a team, you have to create a team that is willing to manipulate someone in order to achieve their ends and also have means in place to deal with him should he shirk whatever manipulation is in effect. Also, from a story perspective, you need to dump in a title where the threats would actually not get completely bowled over by Doomsday.
I'm a big fan of Psycho-Pirate, so I think he's a great option to control and manipulate Doomsday. I can just imagine him being sort of unhinged and frolicking around Doomsday while controlling all of Doomsday's extremely base emotions in order to achieve whatever ends he desires. Of course, you need someone who can control and manipulate Psycho-Pirate, and I think a solid John Constantine is a great choice. Constantine cares not a whip's stitch about the morality of his goals, so working with Doomsday would mean nothing to him. I'd likely want a couple heavier hitters on the team in case Doomsday gets out of control, so I'd put together the couple of Mary Marvel and Jesse Quick for that purpose. I've always thought they have a really great potential as a romantic item. I'd also include Bulleteer and the Thinker to round out the team. Bulleteer is a great character you can build over time, and Thinker fulfills that utility position and adds a little of that shade of villainy you need to keep the team in flux morally. My final addition would be Faith, a minor character who has a shady past but also very angelic/ethereal powers. Minor character that could be used as a Constantine love interest but also develop as her own character.
But that's just off the top of my head.
Neat! Also thank you and sorry it took so long for me to react, I kinda had to look up a few of those since as I said I'm not that well-informed when it comes to comics and didn't have time to research until now.
...okay so I still don't have much to say, but I really am appreciative for all the effort in that and for the chance to learn more comics stuff! ---
"That's life. All the trues are false and all the falses are true."-Charlie Brown