I have sourced a brand new paper tape that is made in the UK and not only recyclable but biodegradable & Compostable too.
ORIGIN: Paper sourced from EU, Tape manufactured in the UK. 50m length. Option of 24mm or 48mm width.
Wrap your gifts with bio paper tape instead of Sellotape which is plastic and can't be recycled. This way your paper wrapping (my top tip is to use newspapers, magazine or kraft paper) and tape can be recycled together. You could even skip wrapping altogether and use a cotton gift or bento bag. Strong and sturdy.