If the crash log shows:
codechicken.nei.PositionedStack.setPermutationToRender(PositionedStack.java:95)
at yuuto.enhancedinventories.compat.nei.RecipeStoneCraftingHandler$CachedStoneCraftingRecipe.getCycledIngredients(RecipeStoneCraftingHandler.java:114)
When Enhanced Inventories tries to put together the "Inventory Crafting" page from the Wool or Wood blocks, it crashes. The only way I've found to fix it is to remove the mod.
Alternatively, don't look at the uses for wool or wood planks.
If the crash log shows:
appeng.integration.modules.NEIHelpers.NEIInscriberRecipeHandler.loadCraftingRecipes(NEIInscriberRecipeHandler.java:98)
at codechicken.nei.recipe.TemplateRecipeHandler.loadCraftingRecipes(TemplateRecipeHandler.java:327)
If you load a world, everything is fine, but when you exit back to the Minecraft Main Menu and load any world again, you will hit the AE2 NEI crash when you look at any recipe. It is a known issue with Modtweaker and AE not liking recipes for the inscriber being reloaded due to it caching them.
Workaround: Reload the client between world loads. Alternatively, comment out the lines in ae2.zs that being with "Insciber" by placing "//" in front of them on the same line. In the mekanism.zs file, comment out the line "Infuser.removeRecipe(mekCircuitBasic)" and the recipes.addShaped line below that.
(*NOTE: this will break the intended progression of AE2 and Mekanism).