玩手机用英文说是play with the smarthphone。
例句如下：
1、据我所知，很少有人会做功课；相反，他们很多人都在玩手机或者聊天，这让那些本来想做点功课的人无法完成。
From what I have seen, few do homework; instead many are on their phones and talking, making it impossible for those who actually want to do work to complete any.
2、或者有没有在玩手机时没能听到报站声而坐过站的经历？
Or missed your train stop because you didn't hear the announcer when you were checking your phone?
3、当父母忙碌而无暇陪伴孩子时，他们就将智能手机或平板电脑交给孩子玩。手机和平板里的各类游戏会让孩子找到乐趣，并且成为孩子的好朋友。
When parents are too busy to spend time with their kids, they give them a smartphone or a tablet. All kinds of online games will entertain their kids and be their good friend.
4、越来越多的年轻人开始患上一种现代社会独有的病症，叫做“游戏背”。这种现代病症是孩子们长时间弓着身子玩游戏或玩手机造成的，会导致脊柱弯曲，有时会引发椎间盘突出。
An increasing number of young people are developing a condition, unique to modern society, that is dubbed 'Gameboy Back'. The modern phenomenon, which causes curvature of the spine over games consoles and smartphones for hours on end.
5、谁先解决这个难题，谁就能赢得大奖。Flurry称，Android用户每天平均花37分钟玩手机游戏。
The prize will be valuable for whoever cracks the code first: Android users spend 37 minutes a day playing mobile games on average, says Flurry.
“沉迷玩手机” 英语
“对...上瘾”可以用这个表达：Be addicted to.....；过度玩手机，可以用：Overuse phone…；“对...着迷”可以用：Be obsessed with…。
例句如下：
1、Are you addicted to your cellphone?
你玩手机上瘾了吗?
2、Children should avoid overusing phones.
孩子应该避免过度玩手机。
3、We should not be obsessed with smartphone all day.
我们不能整天沉溺于手机。