I thought it would be better to discuss this in a thread of its own and here in the Greenhouse forum rather than the tomato growing forum.
Let's establish the criteria for growing in a greenhouse. I'll start by making suggestions but I don't actually have a greenhouse, so hopefully members who do and have experience growing in a greenhouse will contribute.
- great flavor (let's put this down first

- container (what maximum size container can you afford to put in the greenhouse?)
- disease resistance
- productive
- temperature (I expect this will be different depending on season and purpose of the greenhouse -- summer growing in too cool in summer areas vs. fall-winter-spring growing in heated greenhouse to protect from frost and freeze)
--- heat set/resistant
--- cool set/resistant
- early maturing determinates and indeterminates? Would anyone grow late maturing varieties? That seems like a long wait with the plant taking up space and resources....?
- what the fruits will be used for will make a difference too -- fresh eating is better with moderate production over a long period of time like an indeterminate so you would have tomatoes ripening every few days rather than a whole lot of them all at once. But for processing into sauce and salsa, juice, etc. fully ripe tomatoes all at once works better. BUT you can always core and quarter then freeze the ripe ones and process when you have sufficient amount.
- I guess another consideration is that if they ripen all at once then you can replace the tomatoes and use the space for some other seasonality appropriate crop.