This hard drive from Transcend has room for 2 TB of data. This model has a 2.5" form factor, which apart from this model is commonly used in SSD drives.
From Amazon
Transcend 2 TB USB 3.1 Gen 1 Portable Hard Drive, Black - StoreJet TS2TSJ25A3K
Conrad Electronic
Transcend StoreJet® 25A3K 2 TB 2.5 external hard drive USB 3.2 1st Gen (USB 3.0) Black TS2TSJ25A3K
OnBuy
Transcend StoreJet 25A3K 2TB