There are some things = 7.19 million hits
There's some things = 711,000 hits
There're some things = 4,110 hits
I had no idea "there're" was used in writing at all. I searched that one on a lark.
"There's some things," however, I did not search on a lark.
The use of the contraction "there's" before a plural is so common it's now accepted by some experts. But it's one of the few things that kind of peeves me. I was taught "there are" for plural, "there is" or "there's" for singular. So my stomach hasn't quite caught up with my head on this one.