The LF353 has a GBW of 3 MHz ... in hindsight it's amazing how low the requirements for analog video have been back in its day...
However, the TLE2072 is limited to 10 MHz GBW too. I would not want to build a dedicated 10 MHz distribution amp with an OpAmp that is so slow that it can barely handle the fundamental frequency - even if I only intend to use sine wave references.
A much better replacement would certainly be:
LM6172 (32V, 100 MHz, 105 mA, 3000 V/µs, PDIP)
AD8056A (12V, 125 MHz, 110 mA, 750 V/µs, PDIP)
THS4082I(D) (33V, 175 MH7, 100 mA, 230 V/µs, SOIC)
THS4012I (32V, 290 MHz, 150 mA, 310 V/µs, SOIC).
Regarding "drop-in replacement":
- all these dual OpAmps should have an identical pinout, LM6172 and AD8056A certainly do.
- The AD8056A can only handle a max. total supply voltage of 12 V, i.e. +/-5 V nominal. This might require an additional voltage regulator if the LF353 currently runs at higher voltages.
- Most likely, not all of the above mentioned ICs will be available as PDIP; for example, THS4082I can only be found on the used market - if at all - so you'd have to make do with the THS4082ID, which is SOIC. Whenever you have to use SOIC, I would strongly recommend to build the entire amplifier (OpAmp, feedback components, supply decoupling) on a dedicated daughterboard and connect it to the mainboard using coaxial 50 ohm cable.
- The LF353 might have been fairly high speed back in its days (1970s) and for some reason JFET amplifier were usually faster than their bipolar counterparts back then. So it's no surprise, that we find an LF353 in this application. The replacements that I've listed above do not have a low input bias current like the LF353 does, but for a 50 ohm AC application, this should really be of no concern.
Another aspect is the maximum output current, which also determines the maximum output level. If we use 50 instead of 75 ohms, the OpAmp must deliver 50 % more current for the same output level.
The question is, what maximum output level do you want? An LF353 (30 mA) can deliver 2.25 Vp at best - you usually don't want to run into the current limit, so 1.5 Vp (20 mA) would be more realistic for everyday use. Incidentally, the TLE2072 limits its output current at 45 mA (=50 % more), hence the output level could remain unchanged even with a 50 ohm load.
I've added the short circuit output currents to the OpAmps listed above, so you can easily determine, what is possible with more powerful devices.
Of course the max. output level is also limited by the max. slew rate. Fortunately, the requirements are not hard to meet for sine waves. 1.5 Vp at 10 MHz requires ~9.5 V/µs. The LF353 was quite fast in its days with 13 V/µs, so the large signal bandwidth was hardly a concern, given the very moderate small signal bandwidth. Naturally, a TLE2072 beats that quite a bit with 40 V/µs - about the same factor higher as the GBW.
In any case it gets important for square waves, consequently I've also added the maximum slew rates to the list of alternatives.
Another consideration is the BNC connectors. The 75 ohm types are not compatible with 50 ohm, even though you can squeeze a 50 ohm plug into a 75 ohm socket and for a fairly static configuration it might still be fine. The difference in characteristic impedance doesn't really matter at 10 MHz either. Yet for serious purposes, we should not mix connectors of different impedances.