1.or anything: 一点也不

Would you like a drink or anything?
你需要点喝的或者别的什么吗？

Not because I am modest or anything else.
这不是因为我谦虚或别的什么。

Would you care for a drink or anything else?
要不要来杯饮料或别的东西？

2.back off: 后退；软化；减轻；卸下

The military might back off at the last moment.
到最后片刻，军方有可能打退堂鼓。

Back off - pushy persistence will not get you to first base.
后退一步，坚持不一定让妳成为第一人选。

If you feel pain as you stretch, back off until you don't feel any.
如果你伸展时感觉疼痛，就收敛一些，直到不再觉得疼痛为止。

3.Not that I believe any of this: (强调句型)，相当于I don't belive any of this.

4.chip in 捐助；插嘴；下赌注

The Poles and Italians could also chip in.
波兰和意大利可能也会加入。

I was annoyed to find a chip in my new table.
我发现新桌子上有点破损，感到不快。

Let's chip in 20 dollars to buy him a present.
让我们凑够20块钱为他买份礼物。