Can I stop mobs from walking into my house... without a door?

Okay, you might want to interest yourself in transparent blocks like glass or glowstone, as this prevents nearby mobs from slowly wandering and selecting blocks to travel inside your build. However it is more on an impractical approach as you'd have to replace a fifty block radius on the floor that would normally be grass or dirt. I am currently working on other solutions. Hope this helps.

I've tried a lot just to get this to work, but pathfinding is different in BE, meaning some things that would normally work in JE (like the carpet trick) wouldn't work Here's a slightly different approach that might tickle your fancy. Walking into your base, you have a line of open trapdoors in the floor with a lava pit underneath. Try building the setup below, then try to get inside without jumping or sprinting.

If you test it a few times, you'll find out that just by holding down your forward key, you can make it across just by walking! No sprinting, no jumping. Just hold W and go.

As long as you don't stop in the middle of the crossing, you should be just fine. Mobs are too slow to make it through! So they fall and die in the lava.

You can walk in at angles of up to 45 degrees. Anything more and it heightens the risk of falling in.

I suggest, instead of creating just a lava pit, you can funnel mobs into a custom-built mob grinder so you can get their experience. This also helps because you can implement a minecart system that allows players to safely escape the funnel without falling in with the mobs.

Downsides

• Slimes: Slimes are so big, they won't fit in the pitfall trap!
• Witches: They drink potions to self-heal. Depending on your mob grinder method, they might take a while to die!