This is not a magic elixir, but it is a point worth mentioning: crossability is often more about specimens than species.
Journal of Heredity 51: 13-14 (1960)
Male sterility in interspecific hybrids of Solanum
Raymond W. Buck, Jr.
“During hybridization and cytological investigation of tuber-bearing Solanum species and hybrids, the author observed a type of male sterility, as expressed by pollen abortion, in F1 hybrids involving certain clones of S. verrucosum Schlecht.”
“Crosses between S. verrucosum and diploid species from South America produce seed when S. verrucosum is the female parent. Most reciprocal crosses fail. However, the author suceeded in obtaining reciprocal hybrids with one clone of S. phureja Juz. & Buk. and with one clone of S. chacoense Bitt.”
Furthermore, two strains of S. verrucosum used as seed-parents gave only male-sterile hybrid progeny, while one other produced fully fertile offspring.
And another example:
Journal of Genetics 7: 91-94 (1916)
Note on the inheritance of “crossability”
W. O. Backhouse, B. A.
Wheat-Expert to the Argentine Government
Backhouse tried crossing various strains of wheat with rye, but had little success “— with one astonishing exception; a wheat of Chinese origin, for which I am indebted to Professor R. H. Biffen — a beardless vulgare — set 32 seeds out of 40 flowers fertilised with rye — or 80%. The seeds varied considerably in size and were all shrivelled.”
Three plants resulted, all sterile, though Backhouse noted that they flowered very early when there was little pollen about.
“It is interesting to note that this same Chinese variety crosses much less readily with durum wheat than with rye, and gives hybrids only about 1% fertile.”
Solanum phureja is also used to produce haploids of the common potato, S. tuberosum. Pollen of some S. phureja clones give clean haploids. Other clones also induce haploids, but with a small “genetic footprint” of Phureja DNA.