The best replacement for 70-200 f4 is 135 f2.

The best alternatives to 70-200 f4 are rated as following:
★★★★★  135 f2
★★★★  70-300l
★★★  85 1.8
★★★  24-105
★★★  70-200 f2.8
★★  canon 70-300
★★  200 f2.8
★  55-250
★  sigma 70-200 2.8
★  100-400
★  tamron 70-200
★  tamron 70-200 f2.8
★  nikon 70-200 f2.8
★  70-300 l

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Speaking about 70-200 f4, one probably shouldn't forget about 2x extender.

Other search terms related to 70-200 f4 and their ratings are:
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70-200 f4
135 f2
70-300l