This app was mentioned in 1 comment, with an average of 2.00 upvotes
i think you can ask for apk from Xperia one forums. You can get exactly what you want. if you want some similar apps, you can recommend you some:
Galary Widget Auto Slideshow: 90% look like Xperia widget Play store: https://play.google.com/store/apps/details?id=vipsoft.gallery&hl=en apk: http://choilieng.com/apk-on-pc/vipsoft.gallery.apk
Animated photo Widget: high rating but i've never tried it yet Play store: https://play.google.com/store/apps/details?id=com.hikaru.photowidgetad&hl=en apk:http://choilieng.com/apk-on-pc/com.hikaru.photowidgetad.apk