Sell written for my friend Josh:
alright, this is the most difficult real sell I've ever given you, and I made you watch the entirety of Higurashi s1. (for reference, Tanaka-kun and Hyouka weren't real sells.) However, that was 26 eps, this is 12. In search of lost future is adapted from an H visual novel which was, in turn, adapted from a french (not H) novel which I fully intend to read, possibly in the original french. It is, wait for it
drumroll
well implemented time travel! Its main plot puts characters in mechanically interesting positions and gives them difficult choices. I could talk my head off about it and I will, but before that, some of the cons in the pro/con that I have to get out of the way

• Having just watched Devilman Crybaby, the effect of the gratuitous nudity was lessened on me, but it was still very much there and is probably why the anime is not as high on lists as it should be from a plot stance. Some nudity (Yui in the biotube) is tasteful and makes sense, but a lot of it really just stems from the fact that this was adapted from an H VN. They make a point of not censoring breasts. It's implied that something happens with a teacher at one point in ep 1. After episode 9 or 10, when the plot kicks into high gear, the uncalled for nudity dissipates.
• It starts with some awkward CG, which, again, dissipates down to just cars and difficult structures as the show moves on (kinda like Re:Zero and Higurashi)
• Eps 3-8 lie somewhere between pattern establishment and filler. Depending on who you ask, you might get told to doublespeed them. There are some important scenes concerning character relationships though. Same as Higurashi Gou 1-13.
• The origin of one element (the cube) remains unexplained. However, this is not important for the causal chain.

with that out of the way, (mild spoilers list of pros)
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• In search of lost future implements a multi-line time travel universe wherein the time traveler faces attractor field convergence.
• unlike in higurashi's implementation of limits surrounding the repetition of time travel (hanyuu has a soft limit on the number of times she can loop, each loop gets easier due to world line bleed), our character, causally, must loop infinitely, but escaping attractor field convergence gets harder each time due to the nature of the time travel.
• It is a japanese VN, and, as is probable, focuses on high school romance. However, the romance is important because it is causally linked to the time travel
• Not only is it multi-line, but we get some re zero unthinkable presents, diverging from the traveller's POV. Each world is real and the stakes are high.

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So if you got through Devilman Crybaby and you like the big 4 as much as I do, this is something to check out.