This app was mentioned in 5 comments, with an average of 3.00 upvotes
If you haven't already seen it, check out Androids Dream. It's a non-interactive VR experience in Blade Runner. Fan-made, but really well done.
Porn hub has plenty of free shit, works great on their app which I may or may not have..
There's a cool ride through the city blade runner take place in, one of the best I've seen
https://play.google.com/store/apps/details?id=com.donytamazone.androidsdream.cardboard
And I suppose these are also pretty cool
https://play.google.com/store/apps/details?id=com.Creanet3d.com
https://play.google.com/store/apps/details?id=com.gamearx.spacerumble
Not a game, but pretty useful
https://play.google.com/store/apps/details?id=in.fulldive.shell
Have fun!
Androids dream. Not much of a game, more of an on rails experience but impressive for cardboard, and free :) https://play.google.com/store/apps/details?id=com.donytamazone.androidsdream.cardboard
When I tested it it was on Gear but it's on google play, so I don't really understand the differences x)
Link: https://play.google.com/store/apps/details?id=com.donytamazone.androidsdream.cardboard
Any virtual rollercoaster (search the playstore) is simple and fun, but might give you motion sickness (nausea and diziness)
Androids Dream seems pretty cool: https://play.google.com/store/apps/details?id=com.donytamazone.androidsdream.cardboard
VR street jump looks really fun, but the reviews appear to be mixed on how well it displays on different goggles: https://play.google.com/store/apps/details?id=cardboard.crossy
Fulldive VR has a lot of different experiences for cardboard, so might be good to try things out: https://play.google.com/store/apps/details?id=in.fulldive.shell
I hope these perform well on your phone, as VR games are heavier than regular games. If they don't work well, you can always look for '3D' 360 videos on youtube which adds depth to the regular "flat" 360 videos.