There are several different types of tomatoes that are grown in the UK. Each type has several-maybe hundreds-of different varieties. The basic types of tomato plants, are the bush tomato, the vine tomato and the trailing tomato.When we talk of different types of tomatoes on this section, we mean the different growth habits.For normal outdoor garden growing, the choice is normally between bush tomato plants and vine tomato plants.ach type has several-maybe hundreds-of different varieties. The basic types of tomato plants, are the bush tomato, the vine tomato and the trailing tomato.