There are many wonderful heirloom varieties available to grow that will give you the taste of "yesteryear", the seeds have been saved and handed down the generations because of taste and other qualities that people have considered to be worth preserving.
Heirloom varieites grow "true to type" that is they produce the same tomatoes from the saved seeds.
Hybrids or F1 tomatoes won't produce the same tomatoes from their seeds because they have parents of different varieties. These different varieties will show themselves when the seeds from the tomatoes of the first generation are grown - they are considered to be unstable and may produce all sorts of unusual shapes and taste different.
That doesn't mean you can't save the seeds from hybrids - if you want to try, you may end up with some very interesting results. Perhaps not for the serious grower but you may have a lot of fun with the results.