"looks differently" is correct and usable in written English.
You can use it to talk about something that appears to be different. For example, "The way the tree looks differently after the storm was incredible."
"Women create looks differently than they did 10-15 years ago. 10-15 years ago
Now, Mr. Gross drives his BMW to the state unemployment office, and he looks differently at Atlanta's street people.
Experiments have shown that changes of frequencies of the most intensive bands arising from the in-plane, ( {E}_{2 g}^1 ), and out-of-plane, A 1g, vibrations, as a function of number n of layers looks differently.
True healing is slow and incremental, and it looks differently for everyone, but it probably all begins with a wish.
I feel certain that he now looks differently at weekend warriors who burn themselves out, compromise their immune systems, and then suffer colds and influenza only to get out there and do it again.
"He failed to appreciate the ways whiteness has a value above and beyond class, and the ways that inequality looks differently in communities of color because of the racial hierarchy," Andra Gillespie, a professor of political science at Emory and expert on the post-Civil Rights generation of black leaders, told me.
Certain clothes have cuts that look differently on different body types.
For example, "looking different" has led me to "look differently".
"Of course, every player has a different style of play, has a different talent, so people look differently at you.
But, looking differently at the process, it comes to different conclusions.
"We want to challenge the audience to look differently and to experience cinema in a different way".
