"accommodate everything" is correct and usable in written English.
You can use it to describe a situation where a location or system is able to contain or handle all types of people, activities, demands, etc. For example, "This new school was designed to accommodate everything from large lectures to small group activities."
The fact that he can accommodate everything from illuminated manuscripts to iPads is typical.
The manor house was too small to accommodate everything and everyone, so dozens of wooden outbuildings had to be built.
"But even if they were all fully expanded," he said, "they couldn't accommodate everything being shipped out".
We can accommodate everything from socialism to Christian democracy .The PRI's efforts to woo young voters, who shunned it in the presidential election, are equally haphazard.
The trick is designing land use strategies that accommodate everything, to create a mosaic of land uses that are complementary rather than competitive.
"We started looking into it last fall, looking for a large piece of land that could accommodate everything, and this one was perfect — beautiful landscape, rolling hills.
There are three distinct business areas, too, with zoning laws accommodating everything from roadside businesses to light industry.
They were their normal selves, taking turns soloing or playing slow lines together, and the musical rhetoric of this magically loose band accommodated everything they did.
Boosters of the Renaissance Center, accommodating everything from bars and restaurants to banks and theaters, described it as a "city within a city".
The Lake George Islands are more diverse than the islands of Saranac and Indian Lakes, with 387 campsites on 44 state-owned islands, accommodating everything from canoes to cabin cruisers, depending on the island group.
It was rife with jarring contrasts, accommodating everything from ideas long dead to fresh ones in first bloom, from derivative kitsch to blue-chip trophies to sale-resistant experimentation.
