Australian Rules Football is often thought of as Rugby meets the aboriginal game Marn Grook, though there's plenty of controversy over how much influence either of those actually had on it.
Technology
Boeing 747 + Boeing 787 Dreamliner technology = Boeing 747-8
M-16 + Ak-47 = The Galil.
"Phablets", a class of mobile devices combining or straddling the size format of smartphones and tablets. The word itself is a portmanteau of the words "phone" and "tablet". Popularized by the Samsung Galaxy Note series, the term generally is applied to any smartphone with a screen size of more than 5.4 inches.
MUD/MUSH/MUCK/MOO: Chat room meets text adventure game meets Role-Playing Game.
Apple's Macintosh computers tend to lend themselves handily to things like this. For example:
Macintosh + Macintosh LC II = Macintosh Classic II.
Macintosh + Macintosh LC III = Macintosh Color Classic.
Macintosh + Macintosh Quadra 605 = Macintosh Color Classic II.
Power Macintosh 5500 + iMac = Power Macintosh G3 "Molar Mac".
Power Macintosh 8600/9600 + iMac = Power Macintosh G3 Blue and White.
Macintosh LC III+ + Powerbook 170 = Powerbook 180.
Mac + PC = Power Macintosh 4400.
Macintosh SE + Macintosh IIx = Macintosh SE/30.
iMac + Mac Mini = eMac.
Alternatively, the eMac is iMac meets Macintosh LC.
eMac + Macintosh LC = Mac Mini.
One that doesn't result in a Mac, but involves one: Nintendo 64 + iMac = Funtastic.
As for operating systems: Mac OS + NeXTSTEP = macOS.
Cortex-A76 + Cortex-A55 = A14/M1
Transportation
Burlington Northern Railroad + Atchison, Topeka & Santa Fe Railway = Burlington Northern Santa Fe Railway (now BNSF Railway)
When the Denver & Rio Grande Western Railroad was acquired in 1988 by the Southern Pacific Railroad, one noticeable change was that all Southern Pacific locomotives built between then and when the Union Pacific Railroad acquired them in 1995, used the Rio Grande's "speed lettering" font instead of typeface font for the railroad logo.
In the 1980s, the Southern Pacific Railroad contemplated merging with the Atchison, Topeka & Santa Fe. The holding companies merged, and were so confident enough that the ICC would approve it, that they began repainting locomotives into a new unified "Southern Pacific Santa Fe" paint scheme, better known as the "Kodachrome" paint scheme since it resembled the colors of the packaging for Kodak camera film. The merger was turned down by the ICC on the grounds that such a merger included too many duplicate routes and was therefore monopolistic over West Coast freight rail service. Railfans joked that SPSF stood for "Shouldn't Paint So Fast". Instead, the Southern Pacific was ultimately absorbed by the Union Pacific Railroad in 1996 while the Santa Fe was merged with the Burlington Northern to create the Burlington Northern Santa Fe Railway, or BNSF.
United Airlines and Continental Airlines merged in 2012. The combined airline uses the United Airlines name, but Continental's globe logo and paint scheme.
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