Both in full-frame and (especially) APS-C, there seem to be a lot of shared sensors. Canon sensors are almost always unique (sometimes shared among Canon models, but I've never heard of a non-Canon camera using a Canon sensor, and I've never heard of an interchangeable lens Canon using a non-Canon sensor (some of the point and shoots do)... Apart from Canon, there are a lot of Sony sensors around... The similarities are in the base sensor - things like AA filters, phase detection points and color filters (Fuji's X-Trans is a weird color filter on an otherwise standard sensor) are added on top.
As far as I know:
APS-C :
Newest generation Sony 24 MP (copper wiring, improved dynamic range) - may be "IMX 271"
Fuji X-Pro 2, X-T2 (unusual color filter),Fuji X-A3? (if so, it uses a standard Bayer filter, unlike the X-Pro 2 and X-T2) Sony a6300, a6500, Pentax K70?. Sony may have intended to release this sensor first in the a6300, but Fuji beat them to it, both announcing and shipping the X-Pro 2 ahead of the much-delayed a6300.
Sony 24 MP IMX-193 (very long-lived standard 24 MP APS-C sensor)
Sony a6000, various Sony SLT models, Nikon D3300,D3400,D5300,D5500, Pentax K3,K3II, probably other Pentax
Toshiba 24 MP that seems to be a relative of the IMX-193 (Sony now owns Toshiba's sensor business)
Nikon D5200, D7100,D7200
"Nikon 24 MP" that may also be a relative of the IMX-193
Nikon D3200
Early Sony 24 MP (unique as far as I know) - less dynamic range and tricky color
Sony NEX-7
Sony IMX-071 16 MP - extremely long-lived standard 16 MP Sony sensor. Released in the Nikon D7000 in 2011, still in use in a couple of current Fuji models.
Nikon D5100, D7000, various Sony SLT and mirrorless, various Pentax, ALL Fuji X-Trans prior to X-Pro 2 (unusual color filter)
FF:
Sony IMX-128 (and perhaps close relatives) - 24 MP
Nikon D600, D610, D750, Sony A7, A7II, A99, A850? - essentially anything 24 MP FF except Leica and a couple of early models
Sony IMX-028 - 24 MP
Nikon D3x (unusual AA filter), Sony A900, A850?
Sony IMX-094 - 36 MP
Nikon D800, D800e, D810, D810a, Sony A7r, Pentax K1
Sony IMX-251? 42.4 MP (BSI, copper wiring)
Sony A7rII, A99II. It looks like this beast is the only sensor Sony won't sell on the open market, as there is no non-Sony camera with the unusually high resolution.