A good pruning saw is well worth carrying, partic if you ahve a high top or camper... much more useful than an axe unless you need to chop logs up.
My list:
Jemmy (for all sorts of things)
Club hammer or small (6lb max.) sledge
Fixed handle trenching shovel (ex War Dept., a lovely tool)
Mattock (decent size proper job) handle & blade stored separately.. Invaluable tool
Pruning saw (not foldable, but who cares either way)
Heavy gloves, light gloves
A mix of Waffle boards, max length 5 ft.
High-lift jack + LanRover adapter bar for jacking points/ thick ply base, minimum 1 foot square x 1" ply
Hank of 6mm or 8mm poly rope
6 metres min. up to 25 mtrs of plasma (Dyneema type) HDPE rope
Assorted tie-downs and web straps with latch hooks (tree strops/bands)
Assorted tow rope, web tow-straps etc.
Hand winch / plenty of shackles (5,500 lb typ)
Pair of wading boots
Assorted timber, chocks, blocks and billets
Plastic beach.sand/gravel wading shoes
12V tyre pump (Michelin or BonAire), plugs into cigar sockets
Good LED torch, windup + chargeable, good plugins
10 or more 5 ft canes (for marking firm ground (route) through a boggy patch)
2 spare wheels & tyres