I know of no generally accepted list of more BER resistant varieties (though there are some heavily refuted lists I've seen on the internet). Plum/paste tomatoes tend to be more susceptible. Cherries are immune. Everything else is in the middle. Heart tomatoes are often offered as an alternative to plum/Roma types, and smaller tomatoes tend to be less susceptible. It seems that results vary considerably for people comparing BER incidence in different varieties, in different places, in different years. It may be that just as there are a large number of contributing factors to BER, tomato varieties vary in their resistance to these factors individually. This would mean that which types do better for you will depend on the particular combination of BER susceptibility factors at work in your own garden.
pH and mineral availability can be a problem in containers. Nitrogen heavy fertilizers are always a bad idea for tomatoes, but will be especially damaging once fruit are set. Cool weather is known to be a factor, as well as small plant size. Many people find that their plants outgrow BER after the first few fruit are produced. Be sure to pick off fruit with BER as soon as you spot them so that the plant can put its energies into new, healthy fruit.