Not sure whether the violin beetle counts, since while it occurs on islands it’s also on the mainland. But I’ll add it anyway: https://www.inaturalist.org/taxa/422200-Mormolyce
Here’s a Bornean beetle with huge ear-shaped antennal segments: https://www.inaturalist.org/taxa/1661122-Sarawakiola-ajaib (paper: https://www.researchgate.net/publication/262916674_An_interesting_genus_of_chrysomelid_beetle_from_Sarawak_Malaysia_Coleoptera_Chrysomelidae_Galerucinae)
A flightless Haitian beetle with a sort-of “hump”: https://www.inaturalist.org/taxa/503938-Convexocoleus
The world’s only eusocial beetle, from Australia:https://www.inaturalist.org/taxa/1098851-Austroplatypus-incompertus
A wingless, jumping, short-headed Jamaican weevil: https://www.inaturalist.org/taxa/1677894-Apteroxenus (paper: https://www.jstor.org/stable/4000147 )
Another of the “spiky-winged weevils”, this time from New Zealand: https://www.inaturalist.org/taxa/378078-Scolopterus
The weevils are back, this time with a New Caledonian one that dressed up as a Hercules beetle: https://www.inaturalist.org/taxa/1003506-Cerocranus-extremus
You can’t mention weird island insects without the giraffe weevil! https://www.inaturalist.org/taxa/68372-Trachelophorus-giraffa
Well, both of them, actually: https://www.inaturalist.org/taxa/408752-Lasiorhynchus-barbicornis
An Australian not-a-wasp-but-a-beetle: https://www.inaturalist.org/taxa/891789-Enchoptera-nigricornis
A longhorn that looks for all the world like an ant (it’s by design, too): https://www.inaturalist.org/taxa/1171592-Formicomimus-mirabilis
Gosh, Australia has a lot of weird longhorns, doesn’t it? https://www.inaturalist.org/taxa/1541113-Excastra-albopilosa
This Tasmanian byrrhid looks like it’s covered in blisters: https://www.inaturalist.org/taxa/627531-Notolioon
Of course there’s Rhinorhipus, the beetle equivalent of a coelacanth: https://www.inaturalist.org/taxa/1497903-Rhinorhipus-tamborinensis
Lycids are more often weird than not, but this Sulawesi-native one takes the name “net-winged” to another level: https://www.inaturalist.org/taxa/907129-Broxylus
Also this one, with antennae about as long as itself: https://www.inaturalist.org/taxa/933419-Atelius
Here’s one with tiny elytra but regular-sized wings: https://www.inaturalist.org/taxa/1681020-Alyculus-kurbatovi (Paper: https://www.researchgate.net/publication/291323905_Alyculus_new_genus_first_brachypterous_male_lycid_Insecta_Coleoptera)
Morostoma, a Malagasy click beetle that looks like it has four mandibles: https://www.inaturalist.org/taxa/1522505-Morostoma-palpale (only image I could find, yes it’s on Facebook: https://www.facebook.com/paul.bertner/posts/one-of-the-most-bizarres-click-beetles-morostoma-palpare-ive-encountered-with-bi/1016139408468591/)
The giraffe weevil returns in spirit, but this time it’s a Malaysian rove beetle! https://www.inaturalist.org/taxa/896239-Diatelium-wallacei