I've been using FitoTrack from the F-Droid appstore. It works fantastic, offline, private, and looking at the screenshots of the Outrun app have very similar look & layout.

Right ! And Paseo for steps counting is quite good for my needs too

Also Gadgetbridge on F-droid

Second this. Wish they had a better layout for supported devices and you could sort by device type....but overall this seems like the best for privacy

Used to use this with Lenovo watch X. Worked ok, private, inexpensive. Avoid the Lenovo app.

What else works well with gadgetbridge?

Any ios equivalent?

I use open tracks

I second OpenTracks[0]! I use it for running, hiking, snowboarding, exploring potential terrain, etc. I can then export easily the data in QGIS3.

[0]: https://opentracksapp.com/

I use RunnerUp, it works great. Glad to see there are so many options in this space!