I've spent a few years collecting info on various hay handling methods and I am going to start putting together a thread of all the ones I know off. I'm starting with bundlers as the list is small and there is likely at least one model in there we have not heard of before here in Canada/US. I'll start fixing the text to include links some other night. For now google and youtube search of the names will get you an idea.
Mcconnel Bale Packer - Made in UK, twine tie, baler towed and pickup model, 9 and a 16 or 20 bale model. Discontinued.
Plegamatic Bale Block - 12/14 bale, baler towed or pickup models - the plegamatic and belair appear to be identical machines built in different locations to the same design.
Arcusin Multipack - made in spain? 12/14 bale, upright chamber A14, B14, C14, D14 models, all pickup models
Bale Baron - twine tie, made in Canada, 21 or 18 bale (9 bale option), baler towed or pickup model, self-propelled as well
Bale Bandit - steel banding made in US, 21 or 18 bale, baler towed or pickup model 100 and 200
Belair-Sarl 2000, 4000 - arcusin is a copy, 12/14 bale, French made, twine, baler towed.
Tie-Hog - Canada - converted big square baler, 10 bale bundle, twine, pickup model
There are also at least two european manual bale bundlers in production with manual tie. One is three point hitch mounted, the other is trailer mounted. There are some homebuilt ones as well, a
video of one being loaded with a pulp loader from a Arcusin copy of a NH bale wagon is on youtube.
There is also a US built manual bundler
Boxel QBerthat uses plastic straps and a small pallet sized bundle, but as far as I can tell only a prototype was ever built as a school project.
I have not included the stationary bundlers that bale processing companies market.