Step 1: Find each shape by VSEPR.
XeF$_2$ is linear with a 180 degree angle. BF$_3$ is trigonal planar at 120 degrees. [NF$_4$]$^+$ is tetrahedral at about 109.5 degrees. OF$_2$ is bent at about 103 degrees.
Step 2: Order the angles.
\[ 180 > 120 > 109.5 > 103 \]
Step 3: Answer.
\[ \boxed{\text{XeF}_2 > \text{BF}_3 > [\text{NF}_4]^+ > \text{OF}_2} \]