I have other things than that to buy. I have things other than that to buy. [ I prefer the two-sentence solution at the end.
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As far as I can tell so far, "other things than" and "things other than" are interchangeable. quora.com/When-if-ever-is-it-correct-to-use-other-things-than-rather-than-things-other-than-in-a-sentence-Or-are-they-both-correct