They're pretty similar in my oppinion, but there's a little lest anxiety with acid than there is with shrooms.
i think it depends on setting and mood going into it also dried shrooms vs fresh shrooms can have a slightly different feel, dried tend to cause more stomach discomfort and often more of a confused feeling (there are three active substances in most shrooms, and i think the balance of it which can be effected when dry may affect the trip, psilocin/psylocibin/(forgot the other) and how much of each, etc) but in certain moods, especially alone, shrooms (fresh) give me more of a good mood, it takes my mood and elevates it and things that make me feel happy are like times 10, and my thoughts are clear and flow well, and i feel connected to nature. however, if not in the right setting it can be more confused and cloudy, and if there are alot of things that can bring me down ill be twice as pulled down by it. lsd in certain settings is clear and spiritual, but in other settings can be too much, racing thoughts, confusion, being convinced of strange things such as you see you see the ground start to warp or a flower start to look way too big or to be moving towards you, you are convinced it is really happening without even half a second of common sense kicking in but thats just me, and it also varies alot by setting, mood, etc. both are great, i have had many insightful experiences on both, but have had negative on both, so once again, its all setting and whatnot.