A run of requests, each opening with the same word. Say as many as your bencher has; these are the core ones.
On Shabbat add HaRachaman, hu yanchileinu yom shekulo Shabbat. At someone else's table there is a longer version blessing the host.
say each of these as its own request
הָרַחֲמָן הוּא יִמְלוֹךְ עָלֵינוּ לְעוֹלָם וָעֶד.
HaRachaman hu yimloch aleinu l'olam va'ed.
May the Merciful One reign over us forever.
הָרַחֲמָן הוּא יִתְבָּרַךְ בַּשָּׁמַיִם וּבָאָרֶץ.
HaRachaman hu yitbarach bashamayim uva'aretz.
May the Merciful One be blessed in heaven and on earth.
הָרַחֲמָן הוּא יִשְׁלַח בְּרָכָה מְרֻבָּה בַּבַּיִת הַזֶּה, וְעַל שֻׁלְחָן זֶה שֶׁאָכַלְנוּ עָלָיו.
HaRachaman hu yishlach b'racha m'ruba babayit hazeh, v'al shulchan zeh she'achalnu alav.
May the Merciful One send abundant blessing to this house, and to this table at which we have eaten.
הָרַחֲמָן הוּא יִשְׁלַח לָנוּ אֶת אֵלִיָּהוּ הַנָּבִיא זָכוּר לַטּוֹב, וִיבַשֶּׂר לָנוּ בְּשׂוֹרוֹת טוֹבוֹת יְשׁוּעוֹת וְנֶחָמוֹת.
HaRachaman hu yishlach lanu et Eliyahu hanavi zachur latov, vivaser lanu b'sorot tovot y'shu'ot v'nechamot.
May the Merciful One send us Elijah the prophet, remembered for good, to bring us good news, salvations and consolations.
shabbatOn Shabbat add: HaRachaman hu yanchileinu yom shekulo Shabbat um'nucha l'chayei ha'olamim - may the Merciful One let us inherit the day that is entirely Shabbat and rest, for eternal life.
עֹשֶׂה שָׁלוֹם בִּמְרוֹמָיו, הוּא יַעֲשֶׂה שָׁלוֹם עָלֵינוּ וְעַל כָּל יִשְׂרָאֵל, וְאִמְרוּ אָמֵן.
Oseh shalom bimromav, hu ya'aseh shalom aleinu v'al kol Yisrael, v'imru amen.
He who makes peace in His heights, may He make peace for us and for all Israel, and say Amen.
יְראוּ אֶת יְיָ קְדֹשָׁיו, כִּי אֵין מַחְסוֹר לִירֵאָיו. כְּפִירִים רָשׁוּ וְרָעֵבוּ, וְדֹרְשֵׁי יְיָ לֹא יַחְסְרוּ כָל טוֹב.
Y'ru et Adonai k'doshav, ki ein machsor lirei'av. K'firim rashu v'ra'evu, v'dorshei Adonai lo yachs'ru chol tov.
Fear the Lord, His holy ones, for those who fear Him lack nothing. Young lions may go hungry, but those who seek the Lord lack no good thing.
הוֹדוּ לַיְיָ כִּי טוֹב, כִּי לְעוֹלָם חַסְדּוֹ. פּוֹתֵחַ אֶת יָדֶךָ, וּמַשְׂבִּיעַ לְכָל חַי רָצוֹן.
Hodu LaShem ki tov, ki l'olam chasdo. Poteach et yadecha, umasbia l'chol chai ratzon.
Give thanks to the Lord for He is good, His kindness is everlasting. You open Your hand and satisfy every living thing with favor.
בָּרוּךְ הַגֶּבֶר אֲשֶׁר יִבְטַח בַּיְיָ, וְהָיָה יְיָ מִבְטַחוֹ.
Baruch hagever asher yivtach BaShem, v'haya Adonai mivtacho.
Blessed is the man who trusts in the Lord, and the Lord will be his security.