Unfortunately one of the only options you would have for a mechanical timer nowadays is the older Speed Queen AWN432 (is that correct?) top loading machines.
Otherwise, the only option for FL machines is the aforementioned Frigidaire/GE/Kemore "FriGEMore" FL machines.
Posts on this site indicate they weren't perfectly durable, and I'm not sure how repairable they are. If someone can indicate bearing/spider replacement costs on these machines, an FL machine of this style MIGHT be worth considering.
The older SQ FL machines are electronically controlled, but only in the simplest sense. As far as I know, they're not the "Singing, Dancing, Multi-Award Grammy Award Winning (etc)" machines you're thinking of. Turn the knob, push start, come back in 30-50 minutes. They work more than well enough for most - although I'm told in Australia the cycle time was dramatically increased in order to meet minimum cleaning & rinsing requirements by the relevant Government Authority.
In my opinion, for all their failures, electronic controls have allowed more versatile washing profiles, unlike a TL machine where all the timer controls is agitation (or motor reversal for direct-drive machines), the computer allows tumbling rhythm to change depending on the cycle, soil setting and even the type of load detected. Water levels are different for each cycle, whereas mechanic machines are more or less stuck at one, maybe two levels.
There is also the added bonus of water temperature boosting - useful in this day and age of "Automatic Temperature Control" which reduces previously "HOT" washes to merely "luke warm" temperatures. Such machines will be advertised with a heater, and usually have either cycles and/or temperature selections hinting at such, like "Allergen" or "Sanitise."
I'm sorry to have to say, but "Speed Queen" is the only answer you're going to get that comes close in terms of a brand-new appliance having what you want.
As much as people despise it, that is just the way things are. In any case, the timers on Speed Queen TL machines weren't entirely renowned for their reliability... Being "Made in Mexico" (From "local and imported ingredients," no doubt) certainly didn't help.
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While I'm here, I'm going to mention some of the less-than-charitable remarks made by some posters. Rather than slinging sarcasm at this new poster,* try and make a useful suggestion.
Otherwise, my SUGGESTION is to put the sarcasm somewhere else. Maybe the Garbage Disposer.
* The site is entitled the "World's Coolest." Not "most sarcastic," or "rudest."
New members ought not be pushed away just because they are asking a question. Remember there just so happens to be other sites that discuss appliances, and a someone being ill-treated here at AW can easily post a warning for others over there about us.
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