Jupiter (Iovis) is treated essentially ubiquitously throughout Hyginus' Fabulae, i.e. as a central, pervasive figure. The index locorum (cf. below) lists several dozen references. Here, are offered merely chapters 61-63 as exempla...
61. Salmoneus.
Salmoneus was a son of Aeolus, Sisyphus' brother. When he emulated Jupiter by wielding thunder and lightning and from his seat in a chariot was hurling burning firebrands at people and [individual] citizens, he was therefore blasted by Jupiter with a lightning bolt.
62. Ixion — Ixion was the son of Leonteus who tried to sexually assault Juno: At Jupiter's bidding, Juno hid in a cloud that Ixion took to be [authentic, but which turned out to be merely] Juno's likeness.
63. Danaë — Danaë was the daughter of Acrisius and Aganippe. It was prophesied that her offspring would kill Acrisius. Fearing this, Acrisius sealed her up behind a stone wall. Jupiter, however, changed himself into a golden rainfall ad slept with Danaë. From this intercourse Perseus was born. On account of immorality, her father closed her up in a chest with Perseus and cast them into the sea. The chest was borne by Jupiter's will to the island of Seriphus; and, when a fisherman named Dictys discovered the chest, he broke it open and discovered the mother with her child. He took them to King Polydectes, who married her and trained Perseus in Minerva's temple. When Acrisius came to know that they were tarrying at Polydectes' court, he immediately set out. And, when he arrived, Polydectes was beseeched on their behalf. Perseus gave a pledge to his grandfather Acrisius that he would never slay him. However, Polydectes was later killed in a storm. And, when they were holding funerary games for him, Perseus threw a discus which was borne by a wind and driven into Acrisius' head. It killed him. Thus, even though he did not purposefully strike him, the slaying occured by the gods' purposes. After Acrisius was buried, Perseus traveled to Argos and took his ancestral kingdom.
—trans. RTM
A full listing of "Juppiter/Iovis" in Hyg. Fabulae: praef. 13, 19-21, 23-28, 31-33; 2.2-3; 5; 7.1 and 3; 8.1; 9.1; 14.10 and 12; 19.2; 29.1 and 4; 30.7; 31.3; 32.3 41.1; 46.4; 49; 52.1 and 3; 53, 54.2; 55; 61; 62, 63.1 and 3; 68.2; 68A and 68B; 75.2-3; 76; 77; 79.2; 80.4; 82.1-2; 91.6; 92.1-2; 94; 96.2-4; 124; 125.6 and 15-16; 133; 138; 139.1-3; 140.2-3; 142; 143.2; 144.2' 145.1, 3, and 5; 146; 149; 150; 152; 152A; 153.2; 155 titulus; 164.1-2; 166.1-3; 167; 178.1; 176; 177.1; 178.1; 179; 182.1; 183.4; 185.6; 195.1 and 3; 196.1; 197; 198.2; 202.1; 220; 223.4; 224.1-3; 225.1; 240; 241; 242.4; 244.3; 250.3; 251.1-2; 257.2; 269; 271.1; 273.4, 10 and 12; 274.4; 275.1-3, 5 and 7; cf. Dodonaeus, Herceus, Olympius, and Victor
Hyg. Fab., 61-63: Salmoneus, Ixion, Danaë
salmonevs. 61.
Salmoneus Aeoli filius, Sisyphi frater, cum tonitrua et fulmina imitaretur Iouis, sedens quadrigam faces ardentes in populum mitteret et ciues, ob id a Ioue fulmine est ictus.
ixion. 62.
Ixion Leontei filius conatus est Iunonem comprimere: Iuno Iouis iussu nubem supposuit, quam Ixion Iunonis simulacrum esse credidit; ex ea nati sunt centauri. at Mercurius Iouis iussu Ixionem ad inferos in rota constrinxit, quae ibi adhuc dicitur uerti.
danae. 63.
Danae Acrisii et Aganippes filia. huic fuit fatum ut quod pepe risset Acrisium interficeret; quod timens Acrisius, eam in muro lapideo praeclusit. (2) Iouis autem in imbrem aureum conuersus cum Danae concubuit, ex quo compressu natus est Perseus. quam pater ob stuprum inclusam in arca cum Perseo in mare deiecit. (3) ea uoluntate Iouis delata est in insulam Seriphum, quam piscator Dictys cum inuenisset, effracta ea uidit mulierem cum infante,quos ad regem Polydectem perduxit, qui eam in coniugio habuit et Perseum educauit in templo Mineruae. (4) quod cum Acrisius rescisset eos ad Polydectem morari, repetitum eos profectus est; qu