For example, in Hold'em you could have As2s on a Kd3s4sQd board. If you opponent has KsQs he holds two of your outs.
In 2-7 draw you could hold 77432 while your opponent has T9865, so he holds five of your 20 outs.
Omaha: if you hold As2sKxKx on a 5s6s8c9d board then your opponent can hold 7sTsJsQs, killing the maximum four outs.
Razz: easy, your opponent can have (A2)568K to your (34)569J. Even if we consider upcards, (A2)589A is ahead and kills 6 possible outs against (34)7677.
Draw High: You hold 8s9sTsQsX, your opponent has 2s3s4s5s7s.
Can you describe a poker variant in which the maximum number of your outs an opponent can hold is greater than one, but strictly less than the maximum number of cards in his hand?