Presets are a Lightroom thing. What you need are actions or plugins. Many plugins and actions for Photoshop are compatible with PS Elements. I think if you search on Actions for Photoshop Elements you may find a number of them.

I have tried out actions, and I've found that an action that works well on one image looks terrible with others. I've found it really time consuming running actions, then backing them out and trying another one. Instead I've found plugins, which have an interactive interface, are easier to use, as you can preview and fine-tune the effect.

Topaz Adjust is a plugin that is compatible with Photoshop Elements. While the plugin is best known for doing HDR like effects, it has a lot of Film and Toning presets. There are vintage, lomo, cross processing, soft focus. You can combine the presets and create your own recipes. Not too expensive, given you get free lifetime upgrades, and if you sign up for their newsletters they have periodic sales on some of their plugins. Also there is a 15 day trial, so you can try it out on some of your images and see if it suits.

Topaz also have an Elements-compatible plugin called photofxlab which has something they call InstaTone. With InstaTone, you choose an image that has the colours and tones you like, and it applies those to your image. It's a clever way of reverse-engineering an image you like when you don't know what action or adjustments to make. photoFXlab can be run as a stand-alone application as well as a plugin.