“That is an exaggeration. Sub-species maybe. Cross-breeding is not evolution.”
It’s an understatement; the example of Brassicoraphanus is a new genus produced experimentally. Cross-breeding is evolution - it creates new combinations of genes that will be tested against the environment, just like any other sets of genes. Polyploidy, whether through crossbreeding or anomalous cell division, is a convenient example of producing new species quickly because the resulting organisms are often clearly reproductively isolated from the parent form(s). Corn (maize) and wheat are important examples of new species produced in this way. Whiptail lizards are a well-studied example in animals.
What constitutes a “species” in bacteria is rather challenging, so it’s not easy to say if a new species has been made. Producing new species through the gradual accumulation of differences between populations is a somewhat slow process, and it’s challenging to say at what point things are species. For example, the Rhagoletis fruit flies are in the process of becoming separate species, but it’s not clear if they have gotten there. The courtship of the flies is on the fruit where they lay their eggs. Different species of flies use different types of fruit. But some of the flies on hawthorn here in the eastern US discovered that humans had brought a new kind of fruit to the region - apples. Besides smelling different, apples are bigger and last longer before they rot, so there are different contexts for larval development. Now there are flies that specifically go to apples to find mates and lay eggs (much to the annoyance of apple growers). The apple flies also seem to have gotten some different DNA by a hybridization event with another species of fly. (This is not the same group as the standard genetics fruit flies, aka vinegar flies.)
Some flowers have a single gene controlling color. Red flowers appeal to hummingbirds; white flowers attract moths. As a result, the two color forms are not mixing - a degree of species separation. If you take a look at older and newer bird guides (as an easy to obtain example), you will see changes in the lists of species. Studies are constantly finding that one population does or doesn’t blend with another to various degrees and deciding whether or not we should consider them different species or not. For example, eastern North American Baltimore orioles and western Bullock’s orioles look noticeably different. However, hybridization between the two was found, and the hybrid offspring were fertile. So the two were combined into “northern oriole” as a single species. But further study found that the hybrids were less successful - potential mates preferred non-hybrids. They were recognized again as separate species. Now DNA analyses show that the two are in fact not even each other’s closest relative. The degree of wasted reproductive effort in the relatively small area of overlap is not serious enough to strongly promote the development of stronger barriers to interbreeding, and they are not so different form each other that the mere accumulation of genetic differences is enough to make them incompatible. Western and eastern painted buntings are a bit different in size but otherwise quite similar. But they don’t mix at all. Are they different species? Western flycatchers include Pacific-slope and Cordillieran populations that sound different, but there are populations in between. At the moment, they are considered two species, but that judgment may change. There’s no clear line of “this is a species and change never exceeds that”.
Well, if we see new species and genera, why not higher levels? This is a function of how families, classes, phyla, etc. are defined. If we just defined them based on having big differences, then we can claim that new things are turning up from time to time. For example, the classes and higher divisions of arthropods are identified based on how many body regions and appendages there are. Insects have six legs, two antennae, and three body regions, for example; chelicerates such as spiders and scorpions have eight legs, no antennae, one or two body regions, and chelicerae and pedipalps for head appendages. An experimental mutation makes a fruit fly grow legs instead of antennae. That does not fit the basic definition of “insect”. Do we call it a new class of arthropods? No, we just call it a mutant fruit fly. We don’t just use “this is really different”; groups are defined based on relationships into larger and more inclusive categories. A family or order is a group that is established enough to be considered different at a higher level. But how do you know whether the mutant fruit fly is going to be just a lab freak or prove to be successful in some way of living that establishes a significant group of animals? The only way to know that is hindsight. Today’s individual mutation might be the founder of a new family from a viewpoint a few million years into the future, but we don’t have that viewpoint yet.