Looking on the internet deeply has found these results:

I have just got home is the most popular phrase on the web.

I have just arrived home 11,630 results on the web	I have just got home 1493,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
Oct 14, 2013 ... o "I have just arrived home." / "I just arrived home." o "I have already eaten." / "I already ate." • Similarly AmE occasionally replaces the past ... Jul 9, 2010 ... Both seem correct to me, depending on the intended tense: "I just arrived home." (simple past) "I have just arrived home." (present perfect). Apr 13, 2016 ... “I have just arrived home at 5.10pm. I woke up with my 3 year old at 4.30am, got kids ready, went to childcare, drove an hour in traffic and ... Apr 11, 2016 ... I have just arrived home at 5.10pm. I woke up with my 3 year old at 4.30am, got kids ready, went to childcare, drove an hour in traffic and started ...	Doc, I just got home. Just got home, was wondering where you were. Martin just got home and I have to be there for him. Gary, I just got home. They must have just got home. All right, Finch, Peck just got home. I... just got home about ten minutes ago. You just got home, and Scarlett Johansson's waiting for you.

I have just arrived home

11,630 results on the web

I have just got home

1493,000 results on the web

More popular!

Oct 14, 2013 ... o "I have just arrived home." / "I just arrived home." o "I have already eaten." / "I already ate." • Similarly AmE occasionally replaces the past ...
Jul 9, 2010 ... Both seem correct to me, depending on the intended tense: "I just arrived home." (simple past) "I have just arrived home." (present perfect).
Apr 13, 2016 ... “I have just arrived home at 5.10pm. I woke up with my 3 year old at 4.30am, got kids ready, went to childcare, drove an hour in traffic and ...
Apr 11, 2016 ... I have just arrived home at 5.10pm. I woke up with my 3 year old at 4.30am, got kids ready, went to childcare, drove an hour in traffic and started ...