The Honda Odyssey, Chrysler Pacifica, and Toyota Sienna were put through the Insurance Institute for Highway Safety's new passenger-side small overlap test.
Honda's 2019 Odyssey will increase $100 to $31,065 from the prior model a year after the minivan entered its fifth generation as a more connected vehicle.
The recall, set to begin in the U.S. in late December, covers about 800,000 vehicles in the 2011 to 2017 model years.
The 2018 model, which includes a high-performing automatic braking system, qualifies for the Top Safety Pick+ award from the Insurance Institute for Highway Safety.
The recall, expected to begin July 24, covers nearly 4,000 minivans in the 2018 model year.
Honda will offer 4G LTE Wi-Fi with data plans from AT&T with the 2018 model-year Odyssey minivan so users can stream video, music and other entertainment in the vehicle.
The average nationwide insurance rate for the Honda Odyssey LX in 2017 is $1,112, while the Mercedes S65 AMG has an insurance rate of $3,835.
Honda's 2018 Odyssey will retail for at least $1,040 more than the outgoing model, as it enters its fifth-generation with a new V-6 and additional connectivity features.
Honda has revamped its Odyssey minivan for 2018 for connected buyers with smartphone control of vehicle systems and 4G LTE Wi-Fi for streaming video and other entertainment features.
Two separate recalls, both set to begin Jan. 23, together cover more than 641,000 vehicles.