Roots out the bottom typically mean they are ready to go. It looks like a green beans off to the fast start. I am a little hesitant that the roots are that big but the plant doesn't seem to be quite heads up yet? I would think that you'd probably want to put it in the ground soon, once it is fully erect (head sup) and leaves out. A littl emor time in the sun should do it. I started some Snow Peas and Bush Beans in trays just the same as you did.
Keep in mind will need a bunch of containers to get edible portions.
Typically the larger seeds (peas, beans, cucumbers) will germinate quickly and large, where as a tomato will be a little slower, a little smaller. I'm a little surprised a few of the other larger vegetable haven't sprouted? I do see a few of the tomatoes up.
The cherry tomatoes might look a little leggy, but it could be too early to tell. Be sure everything stays lightly moist and gets plenty of sun/light. Just prior to transplantation or upon transplanting, if they have been in a sheltered area leave them out to late evening.... put them put early in the morning... so they can acclimate the outdoor temperature (hardening) before going out permanently.
If your moving to containers go with a decent quality potting soil. An enriched potting soil will have enough nutrients for a while but after about 3 weeks or so I would then start to fertilize. I might also suggest that a quality potting soil with some perlite (3 parts potting soil to 1 part perlite) (or so) will make a good seed starting mix and save you the expense seed starting mix.
Here is a peek at just about what you want transplant wise for non bean - pea type plants, this is a herb. This could be thinned i.e. a few of the sprouts trimmed off, but the roots are fairly prevalent, they are helping hold the soil together, they have just about reached the bottom, the soil is damp, not compacted, but not crumbly.
Not enough roots and things will fall apart, and there will be very little anchor. Too much root and it will be considered root bound and potentially not as successful a plant. This is applicable to anything from small like below to a 1 gallon or 5 gallon from the store.
Nice job
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. We can talk peat pots next time.