Here is the full list of all 29 Timberman VS achievements.
Save a bird on Beginner difficulty
Score 100 in classic or hero mode
Chop 10 logs in 2 seconds in classic or hero mode
Score 500 in classic or hero mode
Score 1000 in classic or hero mode
Chop 1000 logs in 16 seconds in classic or hero mode
Play as Siting Wolf on desert world in classic mode
Play as Plumberman on pipes world in classic mode
Play as Jasmine on palace world in classic mode
Save a bird on Average difficulty
Save a bird on Axe Master difficulty
Save a bird 10 times on any difficulty
Save a bird as Fireman Doug
Finish a race on every distance
Finish a race on distance 100 under 15 seconds
Finish a race on distance 1000 under 3 minutes
Finish a race on distance 5000 under 15 minutes
Win a race against 3 bots on distance 200 not using a boost
Use a boost 10 times in one race
Use a boost 1000 times in total
Unlock all characters
Score at least 100 with every character
Chop 10000 logs in total
Chop 50000 logs in total
Chop 100000 logs in total
Win a online match for 4 players
Win a online match 10 times in total
Win three rounds in online classic mode by being much faster than opponents
Win a online race on each distance (Short, Medium, Long)